Question

solve the following compound inequality. graph the solutions.
x<5 and x> - 2
a. the solutions are - 2<x<5. (simplify your answer. type an inequality or a compound inequality.)
b. the solutions are all real numbers.
c. there is no solution.
graph the solutions. choose the correct graph below.

Explanation:

Step1: Analyze compound - inequality

The compound inequality is $x < 5$ and $x>-2$. This means $x$ lies between - 2 and 5.

Step2: Write solution

The solution is $-2 < x < 5$.

Step3: Analyze graph

For the inequality $-2 < x < 5$, on a number - line, we have open circles at $x=-2$ and $x = 5$ and the line segment between them is shaded.

Answer:

A. The solutions are $-2 < x < 5$.
D. (The correct graph has open circles at - 2 and 5 and the line segment between them shaded)