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Question
State the following sets are finite or infinite:
B = {x : x ∈ W and 5x -3 ≤ 20}
Solution
B = {x : x ∈ W and 5x -3 ≤ 20}
5x - 3 ≤ 20
⇒ 5x -3+3 ≤ 20+ 3 (Adding 3 to both sides)
⇒ 5x ≤ 20+ 3
⇒ 5x ≤ 23
⇒ x ≤ `(23)/(5)`
(Dividing both sides by 5)
⇒ x ≤ 4.6
∴ B = {0, 1, 2, 3, 4}
∴ It is a finite set.
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