Set A- x-x - I- x 4 - x 3 - 2x 2 -2x-0 B- x-x - N- 2x 2 -1-7 Are A and B comparable-

Yes.In fact A={ √ #160; 2 ,0,1√ #160; 2 #160; } and B={1} so that B⊂ A . ...

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Standard XII

Mathematics

Definition of Sets

Set A= x:x ...

Question

Set $A = {x : x \in I, x^{4} - x^{3} - {2 x}^{2} + 2 x = 0}$
$B = {x : x \in N, {2 x}^{2} - 1 < 7}$
Are $A$ and $B$ comparable?

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Solution

Yes.
In fact $A = {- \sqrt 2, 0, 1 \sqrt 2}$
and $B = {1}$ so that $B \subset A$ .

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Set A={x:x ∈ I,x4−x3−2x2+2x=0} B={x:x ∈ N,2x2−1<7}Are A and B comparable?

Yes.In fact A={−√2,0,1√2}and B={1} so that B⊂A.

Set $A = {x : x \in I, x^{4} - x^{3} - {2 x}^{2} + 2 x = 0}$
$B = {x : x \in N, {2 x}^{2} - 1 < 7}$
Are $A$ and $B$ comparable?

Yes.
In fact $A = {- \sqrt 2, 0, 1 \sqrt 2}$
and $B = {1}$ so that $B \subset A$ .