Question

Which option is the set that expresses the solution to the inequality k+1<−3
?(1 point)
Responses

{k:k<−4}
left brace k colon k less than negative 4 right brace

{k:k<4}
left brace k colon k less than 4 right brace

{k:k>−4}
left brace k colon k greater than negative 4 right brace

{k:k>4}

Answer 1

To solve the inequality \( k + 1 < -3 \), we first isolate \( k \):

1. Subtract 1 from both sides:
\[
k + 1 - 1 < -3 - 1
\]
\[
k < -4
\]

Thus, the solution to the inequality is \( k < -4 \).

The correct option that expresses this solution is:
\[
\{k: k < -4\}
\] (left brace k colon k less than negative 4 right brace).