Question

find the solution set of the inequality
14 - 3x < -1.
x

Explanation:

Step1: Subtract 14 from both sides

To isolate the term with \( x \), we subtract 14 from both sides of the inequality \( 14 - 3x < -1 \). This gives us \( 14 - 3x - 14 < -1 - 14 \), which simplifies to \( -3x < -15 \).

Step2: Divide by -3 (reverse inequality)

When we divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \( -3x < -15 \) by -3, we get \( \frac{-3x}{-3} > \frac{-15}{-3} \), which simplifies to \( x > 5 \).

Answer:

\( x > 5 \)