Question

find the solution set of the inequality:
$8x + 2 > 34$
$x$

Explanation:

Step1: Subtract 2 from both sides

To isolate the term with \( x \), we subtract 2 from both sides of the inequality \( 8x + 2 > 34 \). This gives us \( 8x + 2 - 2 > 34 - 2 \), which simplifies to \( 8x > 32 \).

Step2: Divide both sides by 8

Next, we divide both sides of the inequality \( 8x > 32 \) by 8 to solve for \( x \). So, \( \frac{8x}{8} > \frac{32}{8} \), which simplifies to \( x > 4 \).

Answer:

\( x > 4 \)