Question

Which graph is the solution to the inequality –3x − 6 > 9?

Answer 1

Answer:

See attachment

Step-by-step explanation:

First solve this like a normal equation:

-3x - 6 > 9

Add 6 to both sides:

-3x > 9 + 6

-3x > 15

Divide by -3 and remember to switch the inequality sign:

x < 15/(-3)

x < -5

Think about the graph of x = -5. It's a vertical line crossing the y-axis at x = -5. Now, we have x is less than -5. That means all the values less than -5 should be viable solutions. So, shade the part of the graph to the left of the vertical line.

Also, since we have x < -5 and not x ≤ -5, the line should be dotted.

See graph attached.

~ an aesthetics lover