Question

1. if $3x - 7 > 11$, what is the solution for $x$?

a. $x > 6$
b. $x < \frac{18}{3}$
c. $x > \frac{18}{3}$
d. $x \leq \frac{18}{3}$

Explanation:

Step1: Isolate the term with $x$

Add 7 to both sides of the inequality.
$3x - 7 + 7 > 11 + 7$
Simplify to get: $3x > 18$

Step2: Solve for $x$

Divide both sides by 3.
$\frac{3x}{3} > \frac{18}{3}$
Simplify to get: $x > 6$

Answer:

a. $x > 6$