Question

1. -3x + 5 < 17

Explanation:

Step1: Subtract 5 from both sides

To isolate the term with \( x \), we subtract 5 from both sides of the inequality \( -3x + 5 < 17 \). This gives us \( -3x + 5 - 5 < 17 - 5 \), which simplifies to \( -3x < 12 \).

Step2: Divide by -3 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. Dividing both sides of \( -3x < 12 \) by -3, we get \( \frac{-3x}{-3} > \frac{12}{-3} \), which simplifies to \( x > -4 \).

Answer:

\( x > -4 \)