Question

Solve the inequality 2(x + 6) 3x - 2 and show all of your work. You can use >= to represent the greater 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

I think you need an inequality sign between 2(x+6) and 3x-2

Answer 2

I need it to help you solve the problem

Answer 3

ok hold on ill get it

Answer 4

>=

Answer 5

Okay. So first you need to simplify the left side of the equation. So multiply 2 with (x+6) by distributing inside the parentheses:
2x+12>=3x-2
Now in order to solve the inequality you need to isolate the variable, can you do that?

Answer 6

uhm ok you'd do that by factoring the two to both sides right?

Answer 7

Nope, you just subtract the 2x from both sides and add the two to both sides

Answer 8

so now theres x + 10 >= 1x

Answer 9

oh forgot to aaddd

Answer 10

Nope.
2x + 12 >= 3x - 2
12>=x - 2
x<=14

because the 2 is negative you have to add and not subtract it to cancel it from the right side, and subtracting the 2x cancels it from the left side

Answer 11

oh you meant both sides of that one problem ohhhh