Question

What is the solution to the inequality below ?
x^2 >= 49
A. X <=-7, or X >= 7
B. x >= 7
C. -7 <= x <= 7
D. x <-7, or x>7

Answer 1

b

Answer 2

thank you how if you dont mind explaining

Answer 3

square root 49 and you get 7. you square root because you have x^2, so you square root 49 and you get 7

Answer 4

thank you

Answer 5

no problem

Answer 6

Hey Noodya :)
When you take the square root of a square,
you end up with a fancy plus/minus symbol in front of the result.\[\large\rm \sqrt{x^2}=\pm x\]So in our problem here,
when we take the square root of each side, we get,\[\large\rm \pm x\ge7\]We will have two solutions for x from this point.

Answer 7

When x is positive we have \(\large\rm +x\ge7\)
When x is negative we have \(\large\rm -x\ge7\)
In the negative case, you'll need to multiply the negative to the other side.
Remember what happens when you multiply a negative across an inequality?