Question

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

Answer 1

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < − 3

Interval Notation:

( − ∞ , − 3 )

Answer 2

x ∠ -3

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

x < -3