Which graphs represents the compound inequality x<5/4 or x> 5/2?

B

Step-by-step explanation:

Looking at the inequalities, both are ≤ and ≥. That means the x is not only greater or less than, but they are also equal to the number. With this fact, we can eliminate D since D has open circles.

Orr problem has 2 separate inequalities. Both are doing in different directions, hence the ≤ and ≥. This makes B automatically our answer. We can check by graphing each of the inequalities on the number line.

x≤5/4

We know that 5/4=1.25. We start at 1.25. Then the inequality tells less than or equal to. Since it is less than, we would travel to the left, where the numbers get smaller and smaller.

x≤5/2

5/2=2.5 We start at 2.5. The inequality tells us greater than or equal to. This means we have to travel to the right, where the number gets larger and larger than 2.5.

4

step-by-step explanation: