Question

Which number line correctly represents the solutions of the inequality -1>4w ?

A. -2 -7
B. -6-4
C. -1-0.75
D. -0.5 -0.25

Answer 1

Option D (-0.5 -0.25) correctly represents the solutions of the inequality -1>4w.

Step-by-step explanation:

The inequality -1 > 4w can be solved by isolating the variable w. To do this, we need to divide both sides of the inequality by 4 in order to solve for w. Dividing by a positive number does not change the direction of the inequality. So the correct number line representation should have w to the left of -1/4.

Option D (-0.5 -0.25) correctly represents the solutions of the inequality -1 > 4w. This number line shows that any value of w that is greater than -0.25 but less than -0.5 will satisfy the inequality.