Question

Part 1: Solve the inequality -3x + 4 less than or greater to x + 8 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.

Answer 1

Wait, less than OR greater to..?

Answer 2

"You can use <= to represent the less than or equal to symbol."

Your probably saying less than or equal too.

That makes more sense.

Answer 3

\[-3x+4\le x+8\]

You want to isolate x to one side of the quality.

Answer 4

Do you know how to isolate x?

Answer 5

not really.

Answer 6

Ok so the idea is to get x by itself on one side of the equation, and everything else on the other side of the equation.

Answer 7

okay

Answer 8

-3x+4<x+8

Answer 9

So what would you do first?

Answer 10

Ok I'll start you off. Lets add 3x to both sides

Answer 11

So now what would you do to the 8 on the right side of the inequality?

Answer 12

same thing we did on the other side?

Answer 13

Ok, and how do we do that?

Answer 14

how would we get rid of the 8 on the right side of the inequality?

Answer 15

um.. divide?

Answer 16

Nope, you would subtract

Answer 17

So after we subtract both sides by 8, what do we get?