Question

the set {x:x-1/x+3=4,x belongs to R} in roster form​

Answer 1

SOLUTION

TO EXPRESS

The set {x:x-1/x+3=4,x belongs to R} in roster form

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects of our perception or of our thought, to be conceived as a whole

Commonly we shall use capital letters A, B, C.... to denote sets and small letters a, b, c.... to denote objects ( or elements) of a set

REPRESENTATION OF SET

A set can be represented in following ways

• Set Builder form

• Tabular or Roster form

EVALUATION

Here the given set is {x:x-1/x+3=4,x belongs to R}

Now

$\displaystyle \sf{ \frac{x - 1}{x + 3} = 4 }$

$\displaystyle \sf{ \implies \: 4x + 12 = x - 1 }$

$\displaystyle \sf{ \implies \: 3x = - 13 }$

$\displaystyle \sf{ \implies \: x = - \frac{13}{3} }$

Hence the given set in roster form is

$\displaystyle \sf{ \Bigg \{ - \frac{13}{3} \: \: \Bigg \}}$

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