Question

Choose the correct description of the solution to the inequality x - 16 > 5x.

Open circle on -4, shading to the left.

Closed circle on -4, shading to the left.

Open circle on -4, shading to the right.

Closed circle on -4, shading to the right.

Answer 1

x - 16 > 5x

subtract x from both sides
-16 > 4x

divide both sides by 4
-4 > x
x < -4

would the circle be open or closed?

Answer 2

closed @AriPotta

Answer 3

it would be open since the inequality sign is not "great than/equal to" or "less than/equal to"

now would the shading be to the left or to the right?

Answer 4

to the right to the right

Answer 5

so is it C?

Answer 6

it would be to the left because x is less than -4 and the numbers on a number line get smaller as you go to the left...

Answer 7

I'm not sure which one is it! @AriPotta

Answer 8

it has an open circle and shading to the left.