To solve the inequality, we want to isolate the variable m.
First, we can multiply both sides of the inequality by -4/5. However, since we are multiplying by a negative number, we need to flip the inequality sign.
(-5/4m)*(-4/5) > (-15)*(-4/5)
m > 12
Now we can graph the solution:
On a number line, we can represent m > 12 by shading everything to the right of 12, and leaving 12 itself open.
Checking the solution:
Choose a value for m that is greater than 12, such as m = 15.
(-5/4 m) = (-5/4)(15) = -75/4 = -18.75
-18.75 is indeed less than -15, so the solution is correct.
Thus, the graph of the solution will show a shaded area to the right of 12 on a number line.
Solve the inequality. Graph and check your solution.
- 5/4 m < - 15
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