Two sets AA and BB are defined as follows:- AA = \left\\{x \mid x \in N, x < 5\right\\} BB = \left\\{x \mid x \in N, x^2 < 25\right\\} Which of the following alternatives is correct?

Question 96

Two sets AA and BB are defined as follows:-

$$AA = \left\{x \mid x \in N, x < 5\right\}$$

$$BB = \left\{x \mid x \in N, x^2 < 25\right\}$$

Which of the following alternatives is correct?

Solution

$$AA = \left\{x \mid x \in N, x < 5\right\}$$

=> $$AA=\left\{1,2,3,4\right\}$$

$$BB = \left\{x \mid x \in N, x^2 < 25\right\}$$

=> $$BB=\left\{1,2,3,4\right\}$$

Thus, both sets contain same elements, hence AA = BB

=> Ans - (A)

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