Question

3(x + 8) > 51
options:

• ( x < 3 ) (red, triangle)
• ( x > 9 ) (blue, diamond)
• ( x < 9 ) (orange, circle)
• ( x > 3 ) (green, square)

Explanation:

Step1: Divide both sides by 3

To isolate the term with \( x \), we divide both sides of the inequality \( 3(x + 8) > 51 \) by 3. This gives us \( \frac{3(x + 8)}{3} > \frac{51}{3} \), which simplifies to \( x + 8 > 17 \).

Step2: Subtract 8 from both sides

Next, we subtract 8 from both sides of the inequality \( x + 8 > 17 \) to solve for \( x \). So, \( x + 8 - 8 > 17 - 8 \), which simplifies to \( x > 9 \).

Answer:

\( x > 9 \) (the blue option with the diamond: \( x > 9 \))