Question

Which of the following is the correct set notation for the set of perfect squares between 1 and 100 (including 1 and 100)?

Answer 1

Answer:

$\{P^2: P\ E\ Z\ and\ 1\leq p\leq 10\}$

Step-by-step explanation:

Given

Range: = 1 to 100 (Inclusive)

Required

Determine the notation that represents the perfect square in the given range

Represent the range with P

P = 1 to 100

Such that the perfect squares will be P² and integers

In set notation, integers are represented with Z

The set notation becomes

$\{P^2: P\ E\ Z\ and\ 1\leq p\leq 10\}$

The $\leq$ shows that 1 and 100 are inclusive of the set