Question

Which of the following represents the set B = { x : x is an interger, x2 + 1 = 10}?
(A) B = { 3 }
(B) B = { -3, 3 }(C) B = { }
(D) B = { -3, …, 3}

Answer 1

Answer:

the answer is (c)

B={ }

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following represents the set

B = { x : x is an integer , x² + 1 = 10 }

(A) B = { 3 }

(B) B = { -3, 3 }

(C) B = { }

(D) B = { -3, …, 3}

EVALUATION

Here the given set is

B = { x : x is an integer , x² + 1 = 10 }

Now

$\sf{ {x}^{2} + 1 = 10}$

$\sf{ \implies \: {x}^{2} = 10 - 1}$

$\sf{ \implies \: {x}^{2} = 9}$

$\sf{ \implies \: x = \pm \: 3}$

$\sf{ \implies \: x = - 3 \:, \: 3}$

So B = { -3, 3 }

FINAL ANSWER

Hence the correct option is

(B) B = { -3, 3 }

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