Question

can u help me to solve and graph
[-2x-4]>6

Answer 1

-2x-4>6
-2x > 10
x < -5 <-- when dividing by a negative number the sign flips.

This can be plotted on a number line. x = every number greater than negative five.

Answer 2

Uh.. that's not correct.

Recall that:
\[ |a| > b \iff a > b \text{ or } a < -b\]

In this case a is (-2x - 4) and b is 6

So we have

-2x - 4 < -6 or -2x - 4 > 6
-2x < -2 or -2x > 10
x > 1 or x < -5

Answer 3

You can also see that your solution is wrong since 0 is greater than -5 and yet
\[|-2(0) -4| = |-4| = 4 < 6\]