Solve the inequality. Graph and check your solution.

-1/5m>-2

1 answer

To solve the inequality -1/5m > -2, we can multiply both sides by -5 (remember to reverse the inequality sign when multiplying by a negative number):

(-1/5m)(-5) < (-2)(-5)
m < 10

Now we can graph the solution on a number line:

On the number line, we have an open circle at 10 (since the inequality is m < 10, we do not include 10 in the solution) and the arrow pointing towards negative infinity (since m is less than 10).

To check our solution, we can pick a value less than 10, such as 5. Plugging it into the original inequality:

-1/(5*5) > -2
-1/25 > -2

This is true, so our solution is correct.