# Write the following sets in the roaster form:E = {w∣w-2w+3=3,w∈R} - Mathematics

Sum

Write the following sets in the roaster form:
E = {w | (w - 2)/(w + 3) = 3, w ∈ R}

#### Solution

Given: E = {w | (w - 2)/(w + 3) = 3, w ∈ R}

To find: Roster form of given set

(w - 2)/(w + 3) = 3

⇒ w – 2 = 3(w + 3)

⇒ w – 2 = 3w + 9

⇒ 3w – w = – 9 – 2

⇒ 2w = –11

⇒ w = - 11/2

So, E = {- 11/2}

Concept: Sets and Their Representations
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 1 Sets
Exercise | Q 2.(ii) | Page 13

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