Question

Part 1: Solve the inequality -5x + 8 <= x - 4 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

okay well lets see...we want to solve for x

-5x + 8 <= x - 4
subtract 8 from both sides
-5x <= x -12
subtract x from both sides
-6x <= -12
divide both sides by -6 ***********remember when multiplying or dividing by a negative number you switch the direction of the sign**** so
x >= 2

so

part 2

since it is >= ..(has an = sign) it would be a closed dot....an open dot would be just >)
so a closed dot at 2....and shading everything to the right of it..(because those numbers are greater than 2 right?)

Answer 2

thank you so much

Answer 3

no prob man