The inequality 7 – 2x < x – 8 is equivalent to 3

Question

A. x > 9
B. x < 9
C. x > 3/5
D. x < –3/5

Answer 1

If your question means:

7 - 2 / 3 x < x - 8

then

Subtract x from both sides:

7 - 2 / 3 x - x < - 8

7 - 2 / 3 x - 3 / 3 x < - 8

7 - 5 / 3 x < - 8

Subtract 7 from both sides

- 5 / 3 x < - 15

Divide both sides by 5

- 1 / 3 x < - 3

Multiply both sides by 3

- x < - 9

Multiply both sides by - 1

Multiplying or dividing both sides by a negative number reverses the inequality.

x > 9