SOLUTION: May I have some help with the following equation? Solve the linear inequality. Express the solution using interval notation. ) 2(-2x + 1) ≤ -8x - 22

Algebra ->  Equations -> SOLUTION: May I have some help with the following equation? Solve the linear inequality. Express the solution using interval notation. ) 2(-2x + 1) ≤ -8x - 22       Log On


   

Question 121576: May I have some help with the following equation?
Solve the linear inequality. Express the solution using interval notation. )
2(-2x + 1) ≤ -8x - 22
Found 2 solutions by checkley71, MathLover1:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2(-2x+1)<=-8x-22
-4x+2<=-8x-22
-4x+8x<=-22-2
4x<=-24
x<=-24/4
x<=-6 answer.
proof:
let x=-6.1
2(-2*-6.1+1)<=-8*-6.1-22
2(12.2+1)<=48.8-22
2*13.2<=26.8
26.4<=26.8

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
2%28-2x+%2B+1%29 ≤ -8x+-22
-4x+%2B+2 ≤ -8x+-22
-4x+%2B+8x+ ≤ -2+-22
4x+ ≤ +-24
x ≤ -+24%2F4
x+≤ -+6

(-infinity+ ,6+]