Question

4x + 6 < –6
Show your work please.

Answer 1

4x+6<-6 4x+6>6
-6 -6 -6 -6
____________ ________________
4x< -12 4x> 0
x<? x>?

Answer 2

4x + 6 < -6
Subtract 6 to each side.
4x + (6 - 6) < -6 - 6
4x < -12
x < -3

Answer 3

*subtract 6 FROM each side.

Answer 4

x is anything less than -3. This means that x could be -4, -5, -6 and so on. If you follow that pattern, the equation will always be logical.
For example, plug in -4 into the equation.
4(-4) + 6 < -6
-16 + 6 < -6
-10 < -6
True or false?
True.

Answer 5

Thank you.

Answer 6

You're welcome.