Question

Which values are solutions to the inequality below? Check all that apply. √x <7

A. -15
B. 48
C. 14
D. 2
E.51
F. No Solutions

Answer 1

B,C,D

Explanation:

Square both sides of the equation to get rid of the square root surrounding x.

sqrtX^2 = x and 7^2 = 7*7 = 49

x<49

And since we have a radical, we have to have non-negative solutions (the radical used in the equation actually only means the positive square root) meaning x>0

So which one of the choices is less than 49 and greater than 0?

B,C, and D are all less than 49, and greater than 0