Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality

Answers

Answer 1

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:

1) [tex]2\cdot x >10[/tex] Given

2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]

But if [tex]c < 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]

Hence, correct answer is A.


Related Questions

solve for the indicated variable. e=f-g for g

Answers

Answer:

g = f - e

Step-by-step explanation:

f - g = e

- g = e - f

g. = f - e

If you do this whole page you get brainlessly and 5 rating and a thanks

Answers

Answer: A then 0.700 .7 .70

Step-by-step explanation:

I think the answer to Part A. is 0.74
Part B. is 0.7 and 0.70
I hope this helps:)

Quincy needs 322 yards of ribbon to decorate quilts for a craft fair. The ribbon comes in rolls of 15 yards. Alice needs twice as many yards of ribbon as Quincy. How many rolls of ribbon does Alice need? Explain your answer.

Answers

Answer:

The answer is 35

What is the value of 7/3 divided by 5/6

Answers

Answer:

14/5 or 2.8

Step-by-step explanation:

Answer:

2.8 or 2 4/5

Step-by-step explanation:

Which exponent is missing for the given expression ?

Answers

the missing exponent is 4

What is the angle relationship? Meaning, what is the angle for this?
I’ll give brainliest to whoever answers right! :)

Answers

Answer:

Easy. Alternate interior angle.

Step-by-step explanation:

What is the difference between -3 and -12?
O-15
O 15
O -9
O 9

Answers

It’d be -9. -12 minus -3 adds 3 because of the negative

Please help ASPA thanks

Answers

What is it that you need help with im in Algebra 1

Amanda and Sandy found seashells along the shore. Amanda found 8 shells and Sandy found twice as many. How many seashells did Sandy find?

Answers

Answer:

16 hope this helps you out

Answer:

she found 16 seashells

Step-by-step explanation:

a number is no more than 26 inequalities

Answers

Answer:

n is less than or equal to 26

Step-by-step explanation:

I'm guessing you're asking for the inequality, and since a number (n) cannot be more than 26, it has to be less.

The question never said that n can't be 26, and it only said it can't be MORE than 26, so it's less than or equal to 26, so that's what I'm thinking

Complete the statements using the drop-down menus. The line perpendicular to the y-axis through the point (–4, –2) is . The slope of this line is .

Answers

Answer:

Y=-2, 0

Step-by-step explanation:

EDG 2020

Answer:

1. y= -2

2. 0

Step-by-step explanation:

Correct on Edg 2020

identify the x and y intercepts

Answers

Answer:

(1,0) (0,8) thats all I see

Step-by-step explanation:

x-intercepts: (-1,0) (4,0) (5,0) y-intercepts: (0,8)

Kiara has $450 in the bank. After
buying groceries she has $398.72 left in
her account. Write and solve an
equation to determine how much she
spent at the grocery store.

Answers

$450 - $398.72 = $51.28

Graph the equation. Y=2/3x*2+4x+4

Answers

Answer:

See attached graph

Step-by-step explanation:

The equation is given as;

[tex]y=\frac{2}{3} x^{2} +4x+4[/tex]

Use a graph tool to graph and view as attached;

Answer:

Step-by-step explanation:

Both the football and volleyball teams have games today. The football team plays every 7 days. The volleyball team plays every 4 days. In how many days from now will both teams have games on the same day again?

Answers

Answer:

28 days

Step-by-step explanation:

football = 7 days

volleyball = 4 days

both= ?

7 x 4 = 28 days

A Turtle traveled 1/10 mile in 1/2 hour. What was the turtle’s rate in miles per hour?
A.1/20
B.1/12
C.1/6
D.1/5

Answers

1/5

1/10 / 1/2= 2/10
Then simplify it by 2, it becomes D.1/5

write an equation for each quadratic function whose graph is shown​

Answers

Answer:

9. y=5[tex]x^{2}[/tex]

10. y=2/3[tex]x^{2}[/tex]

11. y=1/10[tex]x^{2}[/tex]

12. y=-1/4[tex]x^{2}[/tex]

Step-by-step explanation:

9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).

y=a(x-0)^2 +0

Substitute the x and y values for the given point on the graph, (-1, 5)

5=a(-1-0)^2+0

Solve for a.

5=a(-1)^2

5=a

Substitute a in vertex form and solve for general form (ax^2 +bx+c)

y=5[tex]x^{2}[/tex]

Use this method to find the rest of the equations.

#6 What integers describes overdrawing your bank account by $50?​

Answers

Answer:

-50

Step-by-step explanation:

A negitive number would mean debt or owed. A positive number would be a credit of a number.

Write an equation of a line that has a slope of 1/2 and has a point at (2, 5).

Answers

point slope formula : y - y1 = m ( x- x1)
y-5 = 1/2 ( x-2)
y -5 = 1/2x -1
y = 1/2x + 4

Find the area of the shaded region.
Round to the nearest tenth.

Answers

Answer:

(Assuming they are both right triangles)

214.5 sq ft

Step-by-step explanation:

Area of a right triangle= leg×leg / 2

25×25 / 2 = 312.5

14×14 / 2 = 98

312.5-98= 214.5

PLEASE HELP ME ASAP! ILL GIVE BRAINLEST

Answers

Answer:6(-4)

Step-by-step explanation:

Answer:

4(-6), 6(-4), 12(-2)

Step-by-step explanation:

Hi there!

A negative number times a positive number is a negative number. So, since -4 x 6 has one negative number, you can think of it as 4 x 6 and then add a minus sign after multiplying, so -4 x 6 is -24.

In multiplication, no matter which way the equation goes, the answer will always be the same ( 5 x 3 is the same as 3 x 5). Therefore, we are looking for another equation that will also equal -24.

4(-6) is the same because it is still one number that is a negative, and it still equals -24.

6(-4) is the same as well, it's just we're putting the parentheses around the -4 this time.

12 x 2 is 24, so 12(-2) is negative 24 (-24)

I hope this explanation helped you! I'd appreciate if you gave me Brainliest, rated my answer and gave it a Thanks! Have a great day!

x + 2y = 23

A.(15,-4)
B.(-15,4)
C.(15,4)

Answers

Answer:

23

Step-by-step explanation:

232323

3

3

3

3

23

23

3

this isnt correct btw

the answer for this is twenty Three

(6.8 x10^2) x (1.3 x10^-3)

Answers

Answer:

0.884

Step-by-step explanation:

Giovanni went to the Lowe’s looking for supplies. He bought three pounds of cement for $27.75 per pound. A plant for $12.58. He paid $8.99 is sales taxes. How much did he pay in total at Lowe’s?

Answers

Step-by-step explanation:

Hey there! Let's break this answer down.

1. If he bough 3 pounds of cement for $27.75 each, that 3x27.75, which is $83.25. So he spent $83.25 on cement.

2. Next, add $12.58 for the cost of the plant to $83.25, which $95.83.

3. Finally, he paid $8.99 for the sales tax. When adding that to $95.83, we get $104.82.

So, his total was $104.82.

Have a great day!

Answer:

104.82

1Step-by-step explanation:

27.75 times 3 equals 83.25 plus 12.58 equals 95.83 then add 8.99 which is $104.92

What's 2|–9| – |–2|?

A) –20
B) 16
C) –18
D) 20

Answers

It equals to 2x9-2 so answer is B.

PLS ANSWER I NEED HELP ILL GIVE 50 POINTS PLS NO ONE HELPS ME.
What is the equation of this line?


y=2x−3

y=−12x−3

y=−2x−3

y=12x−3

Answers

.........Is A y=2x-3

Answer:

y=2x-3

Step-by-step explanation:

Pls help! I will mark brainliest!!!

Answers

Answer:

The answer should be -1 degree

Step-by-step explanation:

Combine all temperatures then divide by amount added together in this case five

The formula for the density of a bacteria population is \dfrac NA A N ​ start fraction, N, divided by, A, end fraction where there's an average of NNN bacteria in an area size AAA. Guang and Orion are doing an experiment in school for which they need to measure the density of a bacteria population after a certain solution has been introduced. Guang reports a density of 450045004500 bacteria per square centimeter and Orion reports a density of 505050 bacteria per square millimeter. Which one reports a higher density? Choose 1 answer:

Answers

Answer:

Guang reports a higher density of 4.5 × 10⁷ bacteria/m²

Step-by-step explanation:

Since Guang reports a density of 4500 bacteria per square centimeter and Orion reports a density of 50 bacteria per square millimeter, we convert both densities into bacteria per square meter to compare their values.

So, for Guang 4500 bacteria/cm² = 4500 bacteria/cm² × 10⁴ cm²/1 m² = 4500 × 10⁴ bacteria/m² = 4.5 × 10⁷ bacteria/m²

For Orion 50 bacteria/cm² = 50 bacteria/cm² × 10⁴ cm²/1 m² = 50 × 10⁴ bacteria/m² = 5 × 10⁵ bacteria/m²

Since 4.5 × 10⁷ bacteria/m² > 5 × 10⁵ bacteria/m², Guang reports a higher density of 4.5 × 10⁷ bacteria/m²

Answer:

B.) orion reports a higher desity than guang

Step-by-step explanation:

We found that Guang's reported density is 45 bacteria/ millimeter^2, while orion's reported density is 50 bacteria/ millimeter^2.


Point D is on line segment CE.Given DE = 2 + 10, CD = 6, and CE = 3x,
determine the numerical length of DE.

Answers

Answer:

18

Step-by-step explanation:

There are selveral ways of doing this

1. add all the numbers together so 2+10+6=18

or

2. 3x= (2+10) +6

          (12)+6

          18

3x=18

/3.  /3

x=6

then 3(6)

therefore equalling 18 as well

Please help me it would mean a lot.

Answers

Answer:

60

Step-by-step explanation:

119-59 = 60

the equation is 119-59=60 so its 60
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