SOLUTION: What is the answer to this inequality 3\4 - m >8

Algebra ->  Inequalities -> SOLUTION: What is the answer to this inequality 3\4 - m >8      Log On


   



Question 565386: What is the answer to this inequality 3\4 - m >8
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3%2F4+-+m+%3E+8+
subtract +3%2F4+ from both sides
+-m+%3E+8+-+3%2F4+
Divide both sides by +-1+ and
reverse the inequality sign
+m+%3C+3%2F4+-+8+
+m+%3C+-%2832%2F4%29+%2B+3%2F4+
+m+%3C+-%2829%2F4%29+
--------------
check answer:
Let +m+=+-%2830%2F4%29+ ( It is less than -(29/4) )
+3%2F4+-+m+%3E+8+
+3%2F4+-+%28-30%2F4%29+%3E+8+
+3%2F4+%2B+30%2F4+%3E+8+
+33%2F4+%3E+8+
+8.25+%3E8+
OK