Question

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

Select the correct answer below:

{p2∣p∈ℤ and 1≤p≤10}

{p2∣p∈ℤ and 1

{p2∣p∈ℝ and 1≤p≤10}

{p2∣p∈ℤ and 1

Answer 1

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

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