Question

Write the following as an inequality.

x is greater than or equal to -2 and less than or equal to 5
Use x only once in your inequality.

Answer 1

• x>=-2--(1)
• x<=5--(2)

From eq(1) and (2)

Combine them

`\\ \rm\hookrightarrow -2\leqslant x\leqslant 5`

`\\ \rm\hookrightarrow x\in [-2,5]`

Answer 2

-2 ≤ x ≤ 5

Explanation:

x is greater than or equal to -2 and less than or equal to 5

⇒ x ≥ -2 and x ≤ 5

⇒ -2 ≤ x ≤ 5