SOLUTION: Can someone help me solve this? Type of Problem: Equations, Inequalities, and Absolute Value Solve the inequality and graph the solution. {{{abs(4x-1)>=11}}}

Algebra ->  Graphs -> SOLUTION: Can someone help me solve this? Type of Problem: Equations, Inequalities, and Absolute Value Solve the inequality and graph the solution. {{{abs(4x-1)>=11}}}       Log On


   

Question 791200: Can someone help me solve this?
Type of Problem: Equations, Inequalities, and Absolute Value
Solve the inequality and graph the solution.
abs%284x-1%29%3E=11
Found 2 solutions by waynest, josgarithmetic:
Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
|4x - 1| >= 11
4x - 1 = 11
4x -1 + 1 = 11 + 1
4x = 12
4x/4 = 12/4
x = 3
check:
|4(3) - 1| >= 11
|12 - 1| >= 11
|11| >= 11
11 >= 11

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
If 4x-1%3C0 then abs%284x-1%29=1-4x%3E=11
-4x%3E=11-1
-4x%3E=10
x%3C=-5%2F2, reversal of order symbol because division by a NEGATIVE number.

If 4x-1%3E=0 then abs%284x-1%29=4x-1%3E=11
4x%3E=11%2B1
4x%3E=12
x%3E=3

SOLUTION: highlight%28x%3C=-5%2F2%29 OR highlight%28x%3E=3%29