Final answer:
To solve the inequality -1/4m < 2, multiply both sides by -4 to isolate the variable m. The solution is m > -8. Graph the solution by marking -8 as an open circle and shading the region to the right of -8.
Step-by-step explanation:
To solve the inequality -1/4m < 2, we need to isolate the variable m. We begin by multiplying both sides of the inequality by -4 to get rid of the fraction. This gives us m > -8. So the solution to the inequality is m > -8.
To graph the solution, we can plot a number line and mark -8 as an open circle since m is not equal to -8. Then shade the region to the right of -8 since it represents all the values that are greater than -8.