Question

-x + 5 < 20

Solve the Inequality above.

Answer 1

Answer: x > -15

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Work Shown:

-x+5 < 20

-x+5-5 < 20-5 ... subtract 5 from both sides

-x < 15

-x/(-1) > 15/(-1) ... divide both sides by -1

x > -15

Note how the inequality sign flips when we divide both sides by a negative number.

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Alternative method

-x+5 < 20

-x+5+x < 20+x ... add x to both sides

5 < 20+x

5-20 < 20+x-20 ... subtract 20 from both sides

-15 < x

x > -15

We get the same answer.

Answer 2

-15

Explanation:

you start by collecting like terms which will be

-x=20-5.

which is -x=15

divide both sides by -1

therefore the Ans=-15