3.State whether finite or infinite sets.
A = { x:x belongs to W and 5x - 3 ≤ 20 }
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Step-by-step explanation:
A set with finite (limited) number of elements in it, is called a finite set
A set which is not finite is called an infinite set.
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
∴ A = {0, 1, 2, 3, 4}
∴ It is a finite set.
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