Answer:
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:
[tex]x<-3[/tex]
We can multiply both sides by 3:
[tex]3x<-9[/tex]
And then subtract 5 from both sides:
[tex]3x-5<-14[/tex]
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.
