Question

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

Answer 1

x ∠ -3

Step-by-step explanation:

To solve this inequalities, we have to follow the steps below

open the bracket

collect like term

subtract and then divide both-side so that we can be left with just the variable

9(2x +1) < 9x - 18

opening the bracket, equation becomes;

18x + 9 < 9x - 18

collect like terms, numbers with x variables on the left hand side and number standing alone on the right hand side of the inequality

18x - 9x < -18-9

9x < -27

Divide both-side of the equation by 9

9x/9 < -27/9

Answer 2

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.