If A = x ∈ R : x 2 - 5 x + 6 = 0 , then n A = ________, 2, 0, 1, 4

Given: A = x ∈ R : x 2 - 5 x + 6 = 0 x 2 - 5 x + 6 = 0 ⇒ x 2 - 5 x + 6 = 0 x = 2 , 3 ⇒ x = ± 2 , ± 3 Hence, n A = 4

If A = x ∈ R : x 2 - 5 x + 6 = 0 , then n A = _______

Question: Answered & Verified by Expert

A = \{x \in R : x^{2} - 5 |x| + 6 = 0\},

then

n (A) =

________

MathematicsSets and RelationsMHT CETMHT CET 2019 (02 May Shift 1)

Options:

Solution:

2313 Upvotes Verified Answer

The correct answer is:

4

Given:

A = \{x \in R : x^{2} - 5 |x| + 6 = 0\}

x^{2} - 5 |x| + 6 = 0 \Rightarrow {|x|}^{2} - 5 |x| + 6 = 0

|x| = 2, 3 \Rightarrow x = \pm 2, \pm 3

Hence,

n (A) = 4

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