Question

solve the inequality. graph the solution set, and write it using interval notation.
6k + 7 < -23

select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the solution set is
(type your answer in interval notation. simplify your answer. use integers or fractions for any numbers in the expression.)
b. the solution set is ∅.

Explanation:

Step1: Subtract 7 from both sides

To isolate the term with \( k \), we subtract 7 from both sides of the inequality \( 6k + 7 < -23 \). This gives us \( 6k + 7 - 7 < -23 - 7 \), which simplifies to \( 6k < -30 \).

Step2: Divide both sides by 6

To solve for \( k \), we divide both sides of the inequality \( 6k < -30 \) by 6. This gives us \( \frac{6k}{6} < \frac{-30}{6} \), which simplifies to \( k < -5 \).

Answer:

A. The solution set is \((-\infty, -5)\)