Question

Write a compound inequality represented by a graph on a number line extended from -3 to 7. The number line is shaded between an open circle at -3 and a closed circle at 2. What is the compound inequality using the variable x?

A. -3 < x ≤ 2
B. -3 ≤ x < 2
C. -3 ≤ x ≤ 2
D. -3 < x < 2

Answer 1

The compound inequality represented by the graph is -3 < x ≤ 2.

Step-by-step explanation:

The compound inequality represented by the graph is: -3 < x ≤ 2

Let's break down the compound inequality step by step:

1. -3 < x: This means that x is greater than -3 but not equal to -3. On the number line, we show this with an open circle at -3.
2. x ≤ 2: This means that x is less than or equal to 2. On the number line, we show this with a closed circle at 2.

By combining these two inequalities, we get the compound inequality -3 < x ≤ 2.