Question

Solve the following inequality.
-9/20a-5>4

Answer 1

First, we must normalize it.
\[-\frac{9}{20}a - 5 >4\]
We want to solve for the variable, i.e. \[a\]... so let's put it in terms of the variable. Add 5 to both sides.
\[-\frac{9}{20}a > 9\]
Now, let's divide both sides by \[-\frac{9}{20}\] or, equivalently, multiply by \[-\frac{20}{9}\]
So, see as follows. Note that when multiplying by -1, we need to take care of flipping the equivalence relation.
\[a < -20\]