katelynlaws
Answered

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25 points. Which problem will graph as shown?

A) 3x - 5 ≥ -14
B) 3x - 5 ≤ -14
C) 3x - 5 > -14
D) 3x - 5 < -14

25 Points Which Problem Will Graph As Shown A 3x 5 14 B 3x 5 14 C 3x 5 Gt 14 D 3x 5 Lt 14 class=

Sagot :

xKelvin

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.

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