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: Add 12x to both sides

$24 - 12x+12x<6x - 30+12x$
$24<18x - 30$

Step3: Add 30 to both sides

$24 + 30<18x-30 + 30$
$54<18x$

Step4: Divide both sides by 18

$\frac{54}{18}<\frac{18x}{18}$
$3 3$

Answer:

The number - line with an open - circle at 3 and the arrow pointing to the right. (The second option from the top in the given image)