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Vikki [24]
3 years ago
14

If S = {1, 2, 3} and S' = {4,5}, what is the universal set?

Mathematics
1 answer:
inessss [21]3 years ago
4 0
U = S ∪ S' = {1, 2, 3, 4, 5}
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Explanation:

The solid line has the boundary equation y = -x+4
This line goes through (0,4) and (4,0). Using the slope formula, we find that m = -1. Plugging m = -1 and (x,y) = (0,4) into y = mx+b leads to y = -x+4

The shading is below the solid line so we change the equal sign to a "less than or equal to" sign, which leads us to y <= -x+4

That takes care of the first inequality. We must use "or equal to" as part of the inequality to ensure the boundary is solid

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The second inequality is y > (1/3)x as the boundary line is y = (1/3)x. This line goes through (0,0) and (3,1). The slope is 1/3 and y intercept is 0

The boundary is a dashed line. This means we don't have "or equal to" as part of the inequality


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