Question

Using the properties of inequality, Justify your steps in solving for the variable. 23x + 8 < 14

Answer 1

To solve the inequality 23x + 8 < 14, we need to isolate the variable x.

Step 1: Subtract 8 from both sides of the inequality:
23x + 8 - 8 < 14 - 8
23x < 6

Step 2: Divide both sides of the inequality by 23. Since we are dividing by a positive number, the direction of the inequality remains the same:
(23x)/23 < 6/23
x < 6/23

Therefore, the solution to the inequality is x < 6/23.