Which option is the set that expresses the solution to the inequality k+1<−3

Question

?(1 point)
Responses

{k:k>4}
left brace k colon k greater than 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: \[ k < -3 - 1 \] \[ k < -4 \]

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

The correct option that expresses this solution is:

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

Thus, the answer is:

\({k:k<−4}\)