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Dominik [7]
3 years ago
6

Given the sets above, select all (or the null set) of the element of: B

Mathematics
1 answer:
Elanso [62]3 years ago
5 0

Given:

Universal set = {a, b, c, d, e, f, g, h}

A = {a, b, c, d}

B = {a, d, e}

C= {c, f, g, h}

To find:

The elements of set B'.

Solution:

Let universal set be U.

U = {a, b, c, d, e, f, g, h}

We know that,

Compliment of a set = Universal set - Set

It means,

B'=U-B

B'=\{a, b, c, d, e, f, g, h\}-\{a,d,e\}

B'=\{b, c,f, g, h\}

Therefore, only b, c, f, g, h are the elements of set B'.

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We have to use what is called the zero-interval test [test point] in order to figure out which portion of the graph these inequalities share:

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_________

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So, now that we got that all cleared up, we can tell that the graphs share a region in between each other and that they both have POSITIVE <em>RATE OF CHANGES</em> [<em>SLOPES</em>], therefore the bottom left graph matches what we want.

** By the way, you meant \displaystyle y > x + 2because this inequality in each graph is a <em>dashed</em><em> </em><em>line</em>. It is ALWAYS significant that you be very cautious about which inequalities to choose when graphing. Inequalities can really trip some people up, so once again, please be very careful.

I am joyous to assist you anytime.

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3 years ago
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