Question

Choose the graph which represents the solution to the inequality.

Answer 1

I believe that D is correct. When u solve this, it is 3-2x is greater than or equal to -17. you need to isolate x, so you minus 3 from each side. Since 17 is negative, you are just adding a negative to the other side, giving you -20 is less than or equal to -2x. since it is a negative, you do -20/-2. But don't forget, that it was a negative, so you need to switch the sign. So x is less than or equal to 10. I hope this works!!! Another way to check is to plug your answer back into the equation and see if it works.
PS. Open circle is without the bottom equal sign, Closed circle always has to bottom line. I always get confused with those.

Answer 2

The answer is D

To solve the inequality:

3-2x >= -17
-2x >= -20
x <= 10 when you divide by a negative, the inequality sign switches

Graph D covers all numbers less than or equal to 10