Question

What is the answer to this?

Answer 1

1. x < 2.5
2. x > 2.5

Explanation:

One way to do this is to try a number for x and see if it makes the inequality true. A suitable number here is x=0. This value of x is less than 2.5.

1.

For x=0, you have ...

5 > -5 . . . . . true; the solution space is x < 2.5

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2.

For x=0, you have ...

-25 > -5(2.5)

-25 > -12.5 . . . . . false; the solution space is x > 2.5

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Alternate solution

1.

Subtract 5:

-4x > -10

Divide by -4

x < 2.5

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2.

Divide by -5:

5 < x +2.5

Subtract 2.5

2.5 < x

x > 2.5