SOLUTION: CAN YOU PLEASE HELP ME ON HOW TO DO THIS PROBLEM: Solve and graph the solution set: 5x-4(6+2x) < 2(1-x)

Algebra ->  Coordinate-system -> SOLUTION: CAN YOU PLEASE HELP ME ON HOW TO DO THIS PROBLEM: Solve and graph the solution set: 5x-4(6+2x) < 2(1-x)      Log On


   

Question 87079: CAN YOU PLEASE HELP ME ON HOW TO DO THIS PROBLEM:
Solve and graph the solution set: 5x-4(6+2x) < 2(1-x)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
5x-4(6+2x) < 2(1-x)[simplify using the distributive property to multiply]
5x-24-8x < 2-2x [combine like-terms if possible]
-3x-24 < 2-2x [isolate the x term (get it to the left side of the inequality]
-3x-24+24 < 2+24-2x
-3x < 26-2x
-3x+2x < 26 - 2x+2x
-x < 26
-x/-1 > 26/-1 [flip the sign when multiplying or dividing by a negative number]
x > -26
.
To graph: Draw a dashed, vertical line through (-26, 0), (-26, 5), (-26, -5), (-26, 8), (-26 , -8), etc. All of the x-terms will be (-26); the y-terms can be any real number. Shade everything to the right of the dashed line.