Question

write the following as an inequality.
x is less than or equal to 8 and greater than or equal to 2
use x only once in your inequality.

Explanation:

Step1: Analyze the inequalities

We need to represent "x is less than or equal to 8 and greater than or equal to 2" as a single inequality. The phrase "greater than or equal to 2" is \(2 \leq x\) and "less than or equal to 8" is \(x \leq 8\). Combining these, we get a compound inequality.

Step2: Combine the inequalities

To write the compound inequality, we arrange the numbers and the variable \(x\) such that \(2 \leq x \leq 8\). This shows that \(x\) is between 2 (inclusive) and 8 (inclusive).

Answer:

\(2 \leq x \leq 8\)