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Find, If the Following Sets Are Singleton Sets: B = {Y : 2y + 1 < 3 and Y ∈ W} - Mathematics

Sum

Find, if the following sets are singleton sets:

B = {y : 2y + 1 < 3 and y ∈ W}

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Solution

B = {y :2y + 1 < 3 and y ∈ W}

2y + 1 < 3

⇒ 2y + 1 - 1< 3 -1 (Subtracting 1 from both sides)

⇒  2y < 2

⇒  y < `(2)/(2)` (Dividing both sides by 2)

⇒  y < 1

∴ B = {0}

Hence it is a singleton set.

Concept: Types of Sets
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APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (B) | Q 4.3 | Page 67
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