the correct pairings are:
- inequality a, graph C.
- inequality b, graph A.
- inequality c, graph B
- inequality d, graph D.
<h3>How to match each inequality with its graph?</h3>
Here we know that m > 0, now let's look at the first inequality:
x/m < -1.
if x = -m, we will have:
-m/m < - 1
-1 < 1
This is false, then x must be a value smaller than -m, then we need to draw a open circle at -m and shade al the region to the left of it, this is what we can see in graph C.
b) Now the inequality is:
x/m > 1.
Similarly as before, this time we evaluate in x = m.
m/m > 1
1 > 1
From this, we can see that x must be larger than m, then we will have an open circle at x = m and we need to shade al the region to the right of m.
This is what we see in graph A.
c) This inequality is:
x/m < 1
This is almost the same as the case above, this time we shade to the left instead of the right, so the correct option is graph B.
d) This is:
-x/m < 1
If we multiply both sides by -1 we get:
x/m > -1
This is the opposite of what we get in inequality "a", but this time we need to shade the right side of -m, this is what we see in graph D.
Concluding, the correct pairings are:
inequality a, graph C.
inequality b, graph A.
inequality c, graph B
inequality d, graph D.
If you want to learn more about inequalities:
brainly.com/question/24372553
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