Solve : 7 > 3x - 8 ; X ∈ N. - Mathematics

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Sum

Solve : 7 > 3x - 8 ; x ∈ N.

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Solution

7 > 3x – 8

⇒ 7 – 3x > 3x – 3x – 8 (Subtracting 3x)

⇒ 7 – 7 – 3x > 3x – 3x – 8 – 7 (Subtracting 7)

⇒ -3x > -15

⇒ x < 5 (Dividing by -3)

Required Answer = {1, 2, 3, 4}

Note : Division by negative number reverses the inequality.

Concept: Replacement Set and Solution Set
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Chapter 15: Linear Inequations - Exercise 15 (A) [Page 173]

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Selina Concise Mathematics Class 8 ICSE
Chapter 15 Linear Inequations
Exercise 15 (A) | Q 3 | Page 173
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