Question

which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?

Explanation:

Step1: Expand both sides

$3\times8-3\times4x<6x - 6\times5$
$24-12x<6x - 30$

Step2: Move terms with $x$ to one - side

$-12x-6x<-30 - 24$

Step3: Combine like - terms

$-18x<-54$

Step4: Solve for $x$

$x > \frac{-54}{-18}$
$x>3$

Answer:

The number line with an open circle at 3 and the arrow pointing to the right (the second number line in the image provided) represents the solution set.