Question

writing a compound inequality

correct inequality:
0°c 100°c
number line graph with closed circles at 0 and 100, lines extending left from 0 and right from 100

check your inequality with the correct inequality graphed on the left.

write the two individual inequalities that make this or compound inequality below.

your inequality:
number line from -10 to 110 with blue segments: left from -10 to 20, right from 70 to 110

x ≤ 0 or
input fields for inequalities, submit button

Explanation:

Step1: Analyze the graph

The number line shows two intervals: one to the left of or including 0, and one to the right of or including 100. We already have \( x \leq 0 \) for the left interval. For the right interval, we need to find the inequality. The endpoint at 100 is a closed circle, so we use \( \geq \). So the inequality for the right interval is \( x \geq 100 \).

Step2: Confirm the inequality

Looking at the "Your Inequality" graph, the right blue segment starts at 70? No, wait, the correct inequality's graph has endpoints at 0 (closed) and 100 (closed), with lines extending left from 0 and right from 100. So the two inequalities are \( x \leq 0 \) and \( x \geq 100 \).

Answer:

\( x \geq 100 \) (the second individual inequality, along with \( x \leq 0 \) for the OR compound inequality)