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 greater than negative 4 right brace

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

{k:k<4}

Answer 1

To solve the inequality \( k + 1 < -3 \), we can subtract 1 from both sides:

\[
k + 1 - 1 < -3 - 1
\]

This simplifies to:

\[
k < -4
\]

So, the solution set is:

\[
\{ k : k < -4 \}
\]

Thus, the correct response is:

**{k:k<−4}**