Question

Use set-builder notation to write the set.
The integers less than −74

{x|x ≤ −74, x ∈ integers}

{x|x < −74, x ∈ real numbers}


{x|x > −74, x ∈ integers}

{x|x > −74, x ∈ negative integers}

{x|x < −74, x ∈ integers}

Answer 1

Correct answer: {x | x < −74, x ∈ integers} (equivalently {x ∈ Z | x < −74}).

Reason: "Less than −74" excludes −74 itself, so ≤ −74 is wrong; the set should include only integers smaller than −74 (…,-76,-75).