Let U={x: x is an integer and 2≤x≤10}. In each of the following cases, find A,B and determine whether A⊆B,B⊆A, both or neither:

Question

1 year ago

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A={x: 2x+1>7},B={x: x^2>20}. A={x:x^2-3x+2=0},B={x:x+7 is a perfect square}.

1 answer:

12345 [234] · Answer 1 · 2023-05-21T22:11:38+03:00

A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct

<h3>Set theory</h3>

Set is defined as the arrangement of elements. They can be represented using the venn diagram.

Given the following sets

U = {x: x is an integer and 2≤x≤10} = {3, 4, 5, 6, 7, 8, 9}
A = {x: 2x+1>7} = {x > 3}

B={x: x^2>20} = {x >± 20}

From the set, can see that A is not a subset of B but B is a subset of A (that is can be found in A) that is B⊆A is correct