Question

Solve the following inequality algebraically.
-4|2-x| 1 <-35

Answer 1

x<-27/4

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Explanation:

−4(2−x)1<−35

Multiply −4 and 1 to get −4.

−4(2−x) <−35

Use the distributive property to multiply −4 by 2−x.

−8+4x<−35

Add 8 to both sides.

4x<−35+8

Add −35 and 8 to get −27.

4x<−27

Divide both sides by 4. Since 4 is positive, the inequality direction remains the same.