Identify the intequality that corresponds to the graph below. choose all that apply. x < 5 x-7≤ -2 x> 5 x-7> -2

Answers are choice C and choice D



Explanations:

Let's go through the answers one by one. We'll either confirm the answer or cross it off the list.



Choice A:  x < 5

This is not an answer because the shaded region is to the right of the value 5. If it were x > 5, then it would work. Cross this off the list.



Choice B: x-7 <= -2

Add 7 to both sides and we'll get x <= 5. The same issue comes up as it did with choice A. This describes values smaller than 5 or equal to 5. Cross this off the list.



Choice C: x > 5

This is one of the answers. Writing "x > 5" means "x is some number that is larger than 5". So anything to the right of 5 is shaded on the number line. The value 5 itself is not shaded. We use an open circle to tell the reader "do not include 5 as part of the solution set".



Choice D: x - 7 > -2

This is another answer. It may not be as obvious as choice C, but adding 7 to both sides has us arrive to x > 5. So the same properties will apply here as they did above.

The answer would be the last two options, x > 5 and x-7>-2

Explanation:
Since the arrow is pointing to the right and the circle isn't colored in we can assume that the sign should be >, this eliminates the first 2 options.

Now we can see that the arrow is pointing right from 5, so the third option is true.

For the last option, more steps are required.
x - 7 > -2
You need to isolate x, in order to do this add 7 to both sides
-2 + 7 = 5  ( It's like 7 - 2 )
So your equation should now be
x > 5

Now you can see that the last two options are true.

29. because you will divide each number of months by 12 to find the number of years. which would mean, 5, 12.5, 16, 45, 50, 72.5. which is crazy. anyhow, i think you find the median in the middle. and yea hope your test goes good