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in Sets, Relations and Functions by (114k points)
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Write the roaster form for A = {x: x2 - 2x - 3 = 0 }
1.  {-1, 3}
2.  {2, 3}
3.  {-2, 1}
4. ϕ

1 Answer

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Best answer
Correct Answer - Option 1 :  {-1, 3}

Concept:

Tabular form / Roaster form:

In this method, a set is described by listing all the elements, separated by commas, within the braces {}.

Example: A = {2, 3, 5} is a set of first three prime numbers.

Set –builder form:

In this method, all the elements of the set possess a single common property, which is being enlisted.

Example: B = {x : 6 ≤ x ∈ N ≤ 12}

 

Calculation:

Given: A = {x: x2 - 2x - 3 = 0}

 x2 - 2x - 3 = 0

⇒ x2 – 3x + x - 3 = 0

⇒ x(x - 3) + 1(x - 3) = 0

⇒ (x + 1)(x - 3) = 0

⇒ x = -1 or 3

As we know that, roaster form of a set is described by listing all the elements, separated by commas, within the braces {}.

Hence the required roaster form of set A = {-1, 3}

Hence, option (1) is correct.

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