Question

Write the set of all integers less than -20 in set-builder notation.

A) x
B) x∈Z and x > -20
C) x
D) x

Answer 1

The correct set-builder notation for the set of all integers less than -20 is A) x . This notation matches the criteria by specifying that x must be an integer less than -20.

Step-by-step explanation:

To write the set of all integers less than -20 in set-builder notation, we need to choose the correct mathematical representation that captures this idea. Integers are denoted by the symbol Z, and the inequality used should accurately reflect 'less than -20'.

Considering the options provided:

• A) x∈Z and x < -20
• B) x∈Z and x > -20
• C) x∈Z and x ≤ -20
• D) x

The correct answer is A) x because it represents all integers (x) such that x is a member of the integers (Z) and is less than -20.