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Find the Cardinal Number of the Following Sets : A3 = {P : P ∈ W and 2p - 3 < 8} - Mathematics

Sum

Find the cardinal number of the following sets:

A3 = {p : p ∈ W and 2P - 3 < 8}

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Solution

A3 = {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

∴ A3 = {0, 1, 2, 3, 4, 5}

∴  Cardinal number of set A3 = 6

Concept: Cardinal Number of a Set
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (B) | Q 1.3 | Page 67
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