Solve the inequality. Graph and check your solution.(Simplify your answer.)
negative one fourth m greater than or equals minus 2
m
The inequality is: -1/4m ≥ -2
To solve for m, we need to multiply both sides of the inequality by -4 (since -1/4 is the same as -1/4 * -4/1 = 1).
(-1/4m)(-4) ≥ -2(-4)
m ≤ 8
The solution to the inequality is m ≤ 8.
To graph this inequality on a number line, we can plot a closed circle at 8 (since m is greater than or equal to 8) and shade to the left of the circle.
To check the solution, we can substitute a test value into the inequality. For example, let's check m = 6.
-1/4(6) ≥ -2
-6/4 ≥ -2
-3/2 ≥ -2
This inequality is true, so 6 is a valid solution.
Therefore, the solution to the inequality is m ≤ 8 and the graph would be:
(----●------------------------------)
8