Question

Which values are solutions to the inequality below? Check all that apply​

Answer 1

Given inequality:

$\sqrt{x} \leq 7$

To find:

Which values are solutions to the inequality.

Solution:

Substitute the values in the x place.

Option A: 48

$\sqrt{48} \leq 7$

6.9 ≤ 7

Therefore 48 is one solution of the inequality.

It is true.

Option B: -5

$\sqrt{-5} \leq 7$

$\sqrt{5}i \leq 7$

We cannot compare a complex number and a real number.

Therefore -5 is not a solution of the inequality.

it is not true.

Option C: 50

$\sqrt{50} \leq 7$

7.07 > 7

Therefore 50 is not a solution of the inequality.

It is not true.

Option D: 49

$\sqrt{49} \leq 7$

7 ≤ 7

Therefore 49 is one solution of the inequality.

It is true.

Option E: 44

$\sqrt{44} \leq 7$

6.6 ≤ 7

Therefore 44 is one solution of the inequality.

It is true.

Option F: 2401

$\sqrt{2401} \leq 7$

49 > 7

Therefore 2401 is not a solution of the inequality.

It is not true.

Therefore 48, 49 and 44 are solutions to the inequality.