Answer:
The third choice, [tex]x\leq -8[/tex]
Step-by-step explanation:
One way to do it is to substitute in the potential answers. I'll show you here.
Choice 1
[tex]2(-2)+3\leq (-2)-5[/tex]
[tex]-4+3\leq -2-5[/tex]
[tex]-1\leq -7[/tex]
We can see that this is false, so the answer cannot be choice 1.
Choice 2
[tex]2(2)+3\leq (2)-5[/tex]
[tex]4+3\leq 2- 5[/tex]
[tex]7\leq -3[/tex]
This is also false, so the answer cannot be choice 2.
Choice 3
[tex]2(- 8)+ 3\leq (-8)-5[/tex]
[tex]-16+3\leq -8-5[/tex]
[tex]-13\leq -13[/tex]
This is true. Let's see if choice 4 works.
Choice 4
[tex]2(8)+3\leq (8)-5[/tex]
[tex]16+3\leq 8-5[/tex]
[tex]19\leq 3[/tex]
This is not true. Therefore, 3 is correct.
