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Oksi-84 [34.3K]
3 years ago
10

Which of the following is a solution for the inequality

Mathematics
2 answers:
DedPeter [7]3 years ago
4 0
X=5.5 i think is the answer
Liula [17]3 years ago
4 0

Answer:

x = 4

Step-by-step explanation:

Treat the inequality symbol like an equal sign with rules when it comes to dividing and multiplying each side by negatives, however, that rule irrelevant in this case.

<u>Rewrite</u>

2x < 9

<u>Get x alone by dividing by 2</u>

x < 9/2

<u>Simplify into a decimal</u>

x < 4.5

Now that we have that, we must find an answer which is Less than 4.5 because it is not a less than or equal to statement.

x = 4 is the only one which is proven true to this inequality and therefore is our answer

Hope this helps,

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What is n+ -741 = -542 and the explaination? Thanks!
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Simplify 12x + 8x - 3x
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3 years ago
The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

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The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

----------------------

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

3 0
3 years ago
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