Question

Solve the inequality.
-5.3 > 6.7 + 4.3 + q
-

Answer 1

There are two cases, when it is \[\ge\]
First case:
\[-5.3\ge6.7+4.3+q\]
Adding 6.7 and 4.3 gives us 11, take 11 to other side it becomes -11, so:
\[-5.3-11\ge q\]
\[-16.3\ge q\]
That's the first case.
The second case is:
\[-5.3\le-6.7-4.3-q\]
\[-5.3\le-11-q\]
\[-5.3+11\le-q\]
\[5.7\le -q\]