Q3 of 24 Page 1

Which sets are subsets of which sets among the following sets:

A = {x:x satisfies x2 – 8x + 12=0}


B= {2,4,6}


C= {2,4,6,8,….}


D={6}

A = x2 – 8x + 12=0


= (x–6)(x–2) =0


= x=2 or x=6

A = {2,6}


B ={2,4,6}


C= {2,4,6,8}


D ={6}


So we can say


D⊂A⊂B⊂C

More from this chapter

All 24 →
2

Are the following sets equal?

A={x:x is a letter in the word reap}, B={x:x is a letter in the word paper},


C={x:x is a letter in the word rope}.

 4

If A and B are two sets such that A ⊂ B, then Find the value of A ∩ B.

 5

Find the smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9}.

 6

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8} and C = {3, 4, 5, 6}. Find A’.