Tamil Nadu Board of Secondary EducationHSC Arts Class 11th

Write the following in roster form. {x : x−4x+2 = 3, x ∈ R – {– 2}} - Mathematics

Sum

Write the following in roster form.

{x : (x − 4)/(x + 2) = 3, x ∈ R – {– 2}}

Solution

Let A = {x : (x − 4)/(x + 2) = 3, x ∈ R – {– 2}}

⇒ (x − 4)/(x + 2) = 3

⇒ x – 4 = 3(x + 2)

⇒ x – 4 = 3x + 6

⇒ 3x – x = – 4 – 6

⇒ 2x = – 10

⇒ x = - 10/2 = – 5

A = {– 5}

Concept: Cartesian Product
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APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 1 Sets, Relations and Functions
Exercise 1.1 | Q 1. (iv) | Page 7