Question

Solve and graph the following inequality. -9m+10<100

Answer 1

First, let's solve the inequality for m:

`\begin{gathered} -9m+10<100 \\ -9m<100-10 \\ -9m<90 \\ 9m>-90 \\ m>-(90)/(9) \\ m>-10 \end{gathered}`

Now, to graph this inequality, first let's graph the point m = -10 in the number line.

Then, since the symbol of the inequality is "greater than", the solution is to the right of m = -10, and this point is not included in the solution, so we use an open point (not filled point).

So the graph of this inequality is: