Question

Absolute value of x is greater than -7

|x| > -7

How would this look on a number line

Answer 1

The answer says the whole number line would be shaded, but why?

Answer 2

|x| is 0 or positive, no matter what x is.

in other words, no matter what number you pick, when you put it inside the absolute value signs, you get a number that is 0 or bigger.
and of course bigger than -7

Answer 3

to show all x's on the number line that make
|x| > -7
true, you end up shading in *all numbers* because they all "work"

Answer 4

@phi that makes sense but what about if it was
|x| < -4

Answer 5

So this would be unpossible right? Inother words the number line would be blank

Answer 6

then no x will work, because |x| ≥0 (it's only zero for x=0, otherwise it's positive)

Answer 7

*that should read |x| >= 0

Answer 8

that makes sense then Thanks!

Answer 9

yw