Question

A={12,21,30} Write A in setbuilder form​

Answer 1

ANSWER:

A = { x | 1 ≤ x ≤ 3, x is a natural number }

STEP BY STEP SOLUTION:

TO GET SETBUILDER FORM, YOU SHOULD FIRST OBSERVE THE TERMS CAREFULY.

FOR EXAMPLE, HERE WE CAN OBSERVE

12+9 = 21 AND

21+9 = 30

YOU CAN SEE, 12 = 9×1 + 3

21 = 9×2 + 3

30 = 9×3 + 3

SO WE CAN TAKE THE COMPONENTS OF THE SET IN THE FORM OF "9x + 3", WHERE x IS A NATURAL NUMBER GREATER THAN OR EQUAL TO 1 AND LESS THAN OR EQUAL TO 3.

SO, THE REQUIRED SET BUILDER FORM IS,

A = { x | 1 ≤ x ≤ 3, x is a natural number }

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