Question

Which system of equation is represented​

Answer 1

Answer:

D

Step-by-step explanation:

First, let us figure out what is graphed and then manipulate each answer to try to match it.

The one with a positive slope is

$y\leq x-2$

The one with the negative slope is

$y\geq 3-2x$

Now that we have our graphed system of inequalities, we can try to match them to an answer.

A. while the x-2 is the same, the other does not have an x, so it cannot match.

B. The second inequality has the wrong sign, so it is impossible for this to be our answer.

C. When each of these are solved for y, you get $y\leq 2x-3\\\\y\leq 2-x$. Neither of these match so this cannot be correct.

D. When the first inequality is solved you get $y\geq 3-2x$

When the second inequality is solved you get $y\leq x-2$

As both of these answers match our graphed inequalities, D is the correct answer.