Question

Which of the following is the correct set builder form of : P= { 3,6,9,12,15}
(a)P={ x : x is a factor of 3}
(b)P={x : x is a multiple of 3}
(c)P={x : x is a multiple of 3 and x < 15}
(d) P ={ x : x is a multiple of 3 and x ≤ 15}

Answer 1

Answer:

(d) P ={ x : x is a multiple of 3 and x ≤ 15}

Step-by-step explanation:

3,6,9,12,15 are all multiple of 3

(3×1=3) , (3×2=6) , (3×3=9) , (3×4=12) , (3×5=15)

and all x are less than 15 and one of them is equal to 15 (≤15) (less than or equal to 15)