Question

Write an inequality for the problem and answer the question about the inequality. The square of x is greater than or equal to 10. Is 3 a solution.

Answer 1

"The square of x..." translates to x²

"...is greater than or equal to 10." translates to ≥ 10.

To determine if 3 is a solution, substitute 3 to the inequality.

`\begin{gathered} x^2\ge10 \\ \text{If }x=3 \\ (3)^2\ge10 \\ 9\ge10 \\ 9\\geq10 \end{gathered}`

The resulting number, 9 is not greater than 10. Therefore, 3 is not a solution.