Solve for x and graph the solution set on a number line:

Question

-18 < 6x - 7 < or equal to 17.

Answer 1

The inequality is - 18 < 6x - 7 ≤ 17

Add 7 to each term of the inequality.

- 18 + 7 < 6x - 7 + 7  ≤ 17 + 7

- 11 < 6x ≤ 24

Divide each term by 6.

- 11/6 < 6x/6 ≤ 24/6

- 11/6 < x ≤ 4

Solution set is {x / -11/6 < x ≤ 4}.

Observe the graph, the open circle means that -11/6 is not a solutions of the inequality and the closed circle means that 4 is a solutions of the inequality.