Question

Express the interval set builder notation

Answer 1

Answer:

{x | -1 < x ≤ 2}

Step-by-step explanation:

Interval given in the notation of (a, b) denotes,

Upper limit at 'b' and lower limit at 'a'

Sign () denotes the interval between a and b exclusive of the numbers a and b.

Interval given as [a, b] represents,

a = lower limit

b = higher limit

Notation of [] show the interval inclusive of these numbers.

Given set in the question is (-1, 2]

Here (-1) is the lower limit and 2 is the upper limit.

(] notation shows exclusive of (-1) and inclusive of 2.

Therefore, solution set in set-builder notation will be {x | -1 < x ≤ 2}