Question

What value of x is in the solution set of 9(2x + 1) < 9x – 18?

Answer 1

To solve these kinds of problems, it is necessary to isolate x:

9(2x + 1) < 9x - 18

Distribute 9:
18x + 9 < 9x - 18

Subtracting 9 from both sides of the equation:
18x + 9 - 9 < 9x - 18 - 9
18x < 9x - 27

Subtracting 9x from both sides of the equation:
18x - 9x < 9x - 27 - 9x
9x < -27

x < -3

Therefore, values of x < -3 will satisfy the given equation.