Question

Which of the following could represent the
interval (5, 100]? Select two that apply.

Answer 1

B and C

Explanation:

from interval notation we are including 100 but not 5,

x > 5 and x ≤ 100

so B and C are correct

Answer 2

5 < x ≤ 100

(this is inequality form)

5 < x ≤ 100

(this is set notation form)

(options B and C)

Explanation:

In interval notation,

( or ) : does not include value

[ or ] : does include value

{and remember:

< or > : does not include value

≤ or ≥ : does include value}

when we write something in interval notation, the range of values is from (lowest value, highest value)

for this equation, we know that we are looking for : (5, 100]

which means that the range of numbers goes from

5 (does not include 5) to 100 [does include 100]

so, x > 5 (not equal to); x ≤ 100

we can combine these two concepts: 5 < x ≤ 100

(inequality form)

{when x is present, it means the same thing as without it, so

5 < x ≤ 100 is also correct

(set notation)

hope this helps!!