Question

Which values are solutions to the inequality below? √x≤=4 check all that apply: A. 20 B. 12 C. 2 D. 5 E. -1. F. NO SOLUTIONS.

Answer 1

`\sqrt[]{x}\le4`

we can replace the value of X for each option and check the inequality

A.20

`\begin{gathered} \sqrt[]{20}\le4 \\ 4.47\le4 \end{gathered}`

the inequality is wrong because 4.47 is greater than 4

B.12

`\begin{gathered} \sqrt[]{12}\le4 \\ 3.46\le4 \end{gathered}`

The inequality is right because 3.46 is less than 4

C.2

`\begin{gathered} \sqrt[]{2}\le4 \\ 1.41\le4 \end{gathered}`

The inequality is right because 1.41 is less than 4

D.5

`\begin{gathered} \sqrt[]{5}\le4 \\ 2.23\le4 \end{gathered}`

inequality is right because 2.23 is less than 4

E. -1

`\sqrt[]{-1}\le4`

we can calculate the root of a negative number then the option is wrong