How do i solve the compound inequality?

Question

3x +4 </ 13 or 6x>19 Solve the compound inequality the solution set is?

Answer 1

3x + 4 ≤ 13 or 6x > 19

Take 3x + 4 ≤ 13

Subtract 4 from each side.

3x ≤ 9

Divide each side by 3.

x ≤ 3

And 6x > 19

Divide each side by 6.

x > 19/6 ⇒ x > 3.1666

There fore x ≤ 3 and x > 3.1666 i.e. 3.1666 < x ≤ 3

graph the solution on number line.