Question

State all integer values of x in the interval (2,8) that satisfy the following inequality:
5x + 4 > 19

Answer 1

Answer:

3,4,5,6 and 7

Step-by-step explanation:

Given

$5x + 4 \ge 19$

Required

State the values of x within 2 and 8

$5x + 4 \ge 19$

Collect Like Terms

$5x \ge 19 - 4$

$5x \ge 15$

Divide both sides by 5

$\frac{5x}{5} \ge \frac{15}{5}$

$x \ge 3$

(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.

So:

The values of $x \ge 3$ are: 3,4,5,6 and 7