Question

solve the inequality for x.
41 > 5x - 14
simplify your answer as much as possible.

Explanation:

Step1: Add 14 to both sides

To isolate the term with \( x \), we add 14 to both sides of the inequality \( 41>5x - 14 \). This gives us \( 41 + 14>5x-14 + 14 \), which simplifies to \( 55>5x \).

Step2: Divide both sides by 5

Now, we divide both sides of the inequality \( 55>5x \) by 5 to solve for \( x \). This gives us \( \frac{55}{5}>\frac{5x}{5} \), which simplifies to \( 11>x \) or \( x < 11 \).

Answer:

\( x < 11 \)