Answer:
A
Explanation:
So, lets go over the number line.
Any value to the left of 0 is negative,
Any value to the right of 0 is postive.
In this case we see both numbers are to the left of 0 so they are both negative numbers!
Now, we need to figure out which inequality shows the relationship between the plotted points on the number line. This might sound a bit confusing, but basically they are just asking:
Which number is greater or less than on the number line?
A easy way to remember which number is a lower value is:
Which one is further to the left of zero.
So in this case, we see that -8 is further from zero than -4.
This means -8 is less than -4.
Lets look at our answers to see which one says this.
D says:
4<-8
This isnt true! 4 is not less than -8! 4 isnt even on the number line!
However, if it was. It would be to the right of the 0, since 4 is postive.
C says:
-4<-8
This isnt true either! it says that -4 is less than -8. But -4 is greater than 8, since we see that -8 is farther from 0 on the number line!
B says:
-8>-4
This isnt true also! If we rewrite this, we see that it is basically just C flipped: -8>-4 = -4<-8. Since C was incorrect, B must be incorrect too!
This only leaves A
When we look at A:
-8<-4
This is true, since it says -8 is less than -4. -8 Is further to the left of 0 than -4 is, so -8 is indeed less than -4.
Answer:
A
Hope this helps!