the set of all integers greater than 5 and less than 15

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MrRoyal MrRoyal · Answer 1 · 2022-08-19T20:03:32+02:00

The set of all integers greater than 5 and less than 15 is {x ∈ Z | 5 < x < 15}

The statement is given as:

The set of all integers greater than 5 and less than 15

The set of integers is represented as:

Z

Numbers greater than 5 is represented as:

x > 5

Numbers less than 5 is represented as:

x < 15

When both inequalities are represented as:

5 < x < 15

So, we have:

{x ∈ Z | 5 < x < 15}

Hence, the set of all integers greater than 5 and less than 15 is {x ∈ Z | 5 < x < 15}