If A-x-x- and x2 -4x-3x2 -8x-15- 0- then nA-

X^2 4x+3x^2 8x+15≤ 0 ⇒(x 1)(x 3)(x 3)(x 5)≤ 0 ⇒(x 1)(x 5)≤ 0, where x 3 ⇒ x ∈ [1, 5) {3} Since, x∈ℤ ⇒ x ∈{1,2, 4} nbsp; ∴ n(A)=3 nbsp; nbsp; ...

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Cardinality of Sets

If A=x,x∈ℤ an...

Question

If $A = {x, x \in Z and \frac{x^{2} - 4 x + 3}{x^{2} - 8 x + 15} \leq 0}$ , then $n (A) =$

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A = {x, x \in Z and \frac{x^{2} - 4 x + 3}{x^{2} - 8 x + 15} \leq 0}

n (A) =

A = {x, x \in R and x^{2} - 4 x + 1 = 0}

n (A) =

A = {x, x \in R and x^{2} - 4 x + 1 = 0}

n (A) =

\frac{x^{2} - 4 x + 3}{x^{2} - 8 x + 15} \leq 0

Z

A = {x \in Z : \frac{x^{2} - 8 x + 12}{x^{2} + 8 x + 17} \leq 0}

B = {x \in Z : | | 3 x - 5 | + 4 | \leq 8},

n [(A \cup B) \times (A \cap B)]

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