State the Following Sets Are Finite Or Infinite: P = {Y : Y = 3x -2, X ∈ N and X > 5} - Mathematics

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Sum

State the following sets are finite or infinite:

P = {y : y = 3x -2, x ∈ N & x > 5}

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Solution

P = {y : y = 3x -2, x ∈ N & x > 5}

y = 3x -2

When x = 6,
y = 3 x 6 - 2
= 18 - 2 
 = 16

When x = 7,
y = 3 x 7 - 2
= 21 - 2
 = 19

When x  =8,
y = 3 x 8 - 2
= 24 - 2
 = 22

When x = 9,
y = 3 x 9 - 2
= 27 - 2
 = 25

∴ P = {16, 19, 22, 25,....}

∴ It is an infinite set.

Concept: Types of Sets
  Is there an error in this question or solution?

APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 6 Sets
Exercise 6 (B) | Q 3.3 | Page 67
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