Question

Write(-8,4)in set builder form​

Answer 1

Answer:

{x:x^2-4x-32} set Builder form

Answer 2

SOLUTION

TO DETERMINE

To write { - 8 , 4 } in set builder 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

Representation of Set :

A set can be represented in following ways

(i) Statement form method

(ii) Roster or tabular form method

(iii) Rule or set builder form method

EVALUATION

Let S be the given set

Then S = { - 8 , 4 }

We now find the quadratic equation whose zeroes are - 8 & 4

The equation is

$\sf{(x + 8)(x - 4) = 0}$

$\sf{ \implies \: {x}^{2} + 8x - 4x - 32 = 0}$

$\sf{ \implies \: {x}^{2} + 4x - 32 = 0}$

Hence the required set is

S = { x ∈ R : x² + 4x - 32 = 0 }

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