SOLUTION: Type the answer using interval notation. Simplify your answer. Use integers or fractions for any numbers in expression . Please show me all steps to do this please. 36<|-2x+18/

Algebra ->  Absolute-value -> SOLUTION: Type the answer using interval notation. Simplify your answer. Use integers or fractions for any numbers in expression . Please show me all steps to do this please. 36<|-2x+18/      Log On


   

Question 989093: Type the answer using interval notation. Simplify your answer. Use integers or fractions for any numbers in expression . Please show me all steps to do this please.
36<|-2x+18/5|+9/5
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
36-9%2F5%3Cabs%28-2x%2B18%2F5%29, isolates the absolute value.

%2836%2A5-9%29%2F5%3Cabs%28-2x%2B18%2F5%29

171%2F5%3Cabs%28-2x%2B18%2F5%29

Solve each of these, according to the expression being either non-negative and negative:
(Better way to explain is, solve for two conditions. -2x+18/5 may be greater or equal to zero; and -2x+18/5 may be less than zero.

system%28-2x%2B18%2F5%3E171%2F5%2C2x-18%2F5%3E171%2F5%29
Solve each of these separately.