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Sum

**Find the cardinal number of the following sets:**

A_{3} = {p : p ∈ W and 2P - 3 < 8}

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#### Solution

A_{3} = {P : P ∈ W and 2P - 3 < 8}

2P - 2 < 8

⇒ 2P - 3 + 3 < 8 + 3

(Adding 3 to both sides)

⇒ 2P < 11

⇒ P < `(11)/(2)`

(Dividing both sides by 2)

⇒ P < 5.5

∴ A_{3 }= {0, 1, 2, 3, 4, 5}

∴ Cardinal number of set A_{3} = 6

Concept: Cardinal Number of a Set

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