SOLUTION: Solve the linear absoulute value inequality by rewriting it as an equivalent compound inequality. then graph your solution on the number line. 1. 6<=|2x-4|

Algebra ->  Graphs -> SOLUTION: Solve the linear absoulute value inequality by rewriting it as an equivalent compound inequality. then graph your solution on the number line. 1. 6<=|2x-4|      Log On


   

Question 803937: Solve the linear absoulute value inequality by rewriting it as an equivalent compound inequality. then graph your solution on the number line.
1. 6<=|2x-4|
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
6%3C=abs%282x-4%29......simplify, divide all terms by 2
3%3C=abs%28x-2%29=> 3%3C=+x-2 and 3%3C=-%28x-2%29
3%3C=+x-2 for x%3C=5
and 3%3C=-%28x-2%29=>3%3C=-x%2B2=> x%3C=-3%2B2=>x%3C=-1

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3%3C=abs%28x-2%29%29+
solution set:
(-infinity,-1] U [5,infinity)

draw an arrow from -1 to the left and from 5 to the right