Question

What is the possibility solution for x in the inequality below 3 < x < 7

Answer 1

The solution is the interval (3,7)

Explanation:

we have the compound inequality

`3<x<7`

This is the same that the system of inequalities

x> 3 and x<7

Solve the system of inequalities

x>3

The solution is the interval (3,∞)

X<7

The solution is the interval (-∞,7)

therefore

The solution is

(3,∞) ∩ (-∞,7)=(3,7)