SOLUTION: Can someone help me with solving the inequality? -14 ≤ 4x - 7≤ -2

Algebra ->  Inequalities -> SOLUTION: Can someone help me with solving the inequality? -14 ≤ 4x - 7≤ -2       Log On


   



Question 460091: Can someone help me with solving the inequality?
-14 ≤ 4x - 7≤ -2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-14%3C=4x-7%3C=-2 Start with the given compound inequality.


-14%2B7%3C=4x%3C=-2%2B7 Add 7 to all sides.


-7%3C=4x%3C=-2%2B7 Combine like terms on the left side.


-7%3C=4x%3C=5 Combine like terms on the right side.


%28-7%29%2F4%3C=x%3C=%285%29%2F4 Divide all sides by 4.


So the answer is -7%2F4%3C=x%3C=5%2F4