Let's solve the inequality step-by-step.
Given inequality:
[tex]\[ 3x > 15 \][/tex]
To isolate \( x \), we need to divide both sides of the inequality by 3:
[tex]\[ \frac{3x}{3} > \frac{15}{3} \][/tex]
Simplify the left and right sides:
[tex]\[ x > 5 \][/tex]
The inequality \( x > 5 \) means that the solution to this inequality is all \( x \) values greater than 5.
Now, we look at the options provided:
A. \( x > 15 \)
B. \( x < 5 \)
C. \( x \geq 15 \)
D. \( x > 5 \)
The correct choice that matches our solution \( x > 5 \) is:
D. [tex]\( x > 5 \)[/tex]
