25 points. Which problem will graph as shown? A) 3x - 5 ≥ -14
B) 3x - 5 ≤ -14
C) 3x - 5 > -14
D) 3x - 5 < -14

D

Step-by-step explanation:

We can work backwards.

First, notice that we have an open circle. So, we do not have "or equal to." So, we can ignore A and B.

Our final answer is all values less than -3. So:

We can multiply both sides by 3:

And then subtract 5 from both sides:

So, the answer that matches this will be D.

Instead of working backwards, you can also just solve each inequality. Since we have an open circle, we only need to solve C and D. If we solve C, we get x > -3, and if we solve D, we get x < -3 (as desired). So, D matches the graph shown.

or