Question
Download Solution PDFIf A = {x : x ∈ R such that x2 - 7x + 12 = 0 } then A is a/an ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- A set which contains finite number of elements is called a finite set.
- A set which has infinite number of elements is called an infinite set
- A set which does not contain any element is called an empty set.
CALCULATION:
Given: A = {x : x ∈ R such that x2 - 7x + 12 = 0}
First let's solve the quadratic equation x2 - 7x + 12 = 0
⇒ x2 - 3x - 4x + 12 = 0
⇒ x(x - 3) - 4(x - 3) = 0
⇒ (x - 4) × (x - 3) = 0
⇒ x = 3, 4
⇒ A = {3, 4}
As we can see that, set A has two elements which means that set A is a finite set
Hence, correct option is 2
Last updated on Jun 20, 2025
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