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