SOLUTION: Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. 8(x + 3) ≥ 7(x - 2) + x

Algebra ->  Inequalities -> SOLUTION: Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line. 8(x + 3) ≥ 7(x - 2) + x      Log On


   

Question 1174713: Solve the linear inequality. Other than ∅, use interval notation to express the solution set and graph the solution set on a number line.
8(x + 3) ≥ 7(x - 2) + x
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
your inequality is:

8x + 24 >= 7x - 14 + x

combine like terms to get:

8x + 24 >= 8x - 14

subtract 8x from both sides of the inequality to get:

24 >= -14.

since x dropped out of the inequality, this is true regardless of the value of x.

the solution is the set of all x such that minus infinity < x < plus infinity.

in interval notation, i believe the answer will be x = (-infinity, plus infinity)

on a number line, i believe the answer will be: 

                  <---------------------------------------->
             minus infinity                            plus infinity


here's a reference on interval notation.

https://www.varsitytutors.com/hotmath/hotmath_help/topics/interval-notation