Question

Part 1: Solve the inequality 5x - 2 ≤ 2x + 10 and show all of your work. You can use <= to represent the less than or equal to symbol.

Part 2: Use complete sentences to describe the graph of the solution from Part 1. Be sure to include the type of circle and which direction the shading will be.

Answer 1

Part 1, solve for x. Do we know how to do this?

Answer 2

yes x=4

Answer 3

Not x = 4, x <= 4

Answer 4

yeah sorry that's what I meant

Answer 5

how do you label the graph @stamp

Answer 6

@jim_thompson5910 help with part 2?

Answer 7

to graph x <= 4

step 1) plot the point x = 4 on the number line

step 2) make a closed circle at x = 4

step 3) shade to the left of this closed circle to completely graph x <= 4

Answer 8

you use a closed circle because of the "or equal to" part in the inequality sign

and you shade to the left because you have a "less than" in your inequality sign

Answer 9

thank you! @jim_thompson5910

Answer 10

you're welcome