Question

A compound inequality using the variable x is 7 < x < 14 as in a graph

Answer 1

see the explanation

Explanation:

we have the compound inequality

`7 < x < 14`

The compound inequality can be divided into two inequality

x > 7 -----> inequality A

The solution of the inequality A is the interval ----> (7,∞)

x < 14 ----> inequality B

The solution of the inequality B is the interval ----> (-∞,14)

The solution of the compound inequality is

(7,∞) ∩ (-∞,14)=(7,14)

The solution is all real numbers greater than 7 and less than 14

In a number line the solution is the shaded area at the right of x=7 (open circle) and at left of x=14 (open circle)

see the attached graph to better understand the problem