Question

if A={w:w-2/w+3=3, w belongs to R} write set A in roster form

Answer 1

Answer:

here given that

w-2/w+3=3

w-2=3w+9

w=-11/2

hence, A={-11/2}

Answer 2

Concept

Roster form and set builder form are the two representations of sets. In the roster form, the elements of the set are listed in the curly brackets separated by comma whereas in set builder form, all the elements of the set posses a single property to be in the set.

Given

A = {w : w-2/w+3=3, w belongs to R}

Find

Write set A in roster form

Solution

We are given that

w - 2 / w + 3 = 3

w - 2 = 3(w+3)

w – 2 = 3w + 9

-2w = 11

w = -11/2

A = {-11/2}

A = {w : w-2/w+3=3, w belongs to R} in roster form is A = {-11/2}

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