Question

5x + 12 < 42

Explanation:

Step1: Subtract 12 from both sides

To isolate the term with \( x \), we subtract 12 from both sides of the inequality \( 5x + 12 < 42 \). This gives us \( 5x + 12 - 12 < 42 - 12 \), which simplifies to \( 5x < 30 \).

Step2: Divide both sides by 5

Next, we divide both sides of the inequality \( 5x < 30 \) by 5 to solve for \( x \). So, \( \frac{5x}{5} < \frac{30}{5} \), which simplifies to \( x < 6 \).

Answer:

\( x < 6 \)