Question

Which Values are solutions to the inequality below?

Check all that apply

√X ≤ 4

A. 16
B. 36
C. 17
D. 9
E. 25
F. 12

Answer 1

x=4
Solve Square Root.
x=4
x=4^2(Square both sides)
x=16
Check answers. (Plug them in to make sure they work.)
x=16(Works in original equation)
Critical points:
x=16
x=0(Makes term equal to 0)
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x≤0(Doesn't work in original inequality)
0≤x≤16(Works in original inequality)
x≥16(Doesn't work in original inequality)

Answer 2

You want a rooted number < or equal to 4. since the root of 16 is 4, any number less than four, not including negative numbers will work, therefore, your answers are A, D, F