Question

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

Answer 1

we have

$3(8-4x)$

Eliminate the parenthesis

$24-12x$

Group terms that contain the same variable, and move the constants to the opposite side of the inequality

$24+30$

$54$

Divide by $18$ both sides

$54/18$

$3$

rewrite the inequality

$x>3$

the solution is the interval-------> (3,∞)

The answer in the attached figure

Answer 2

3(8 – 4x) < 6(x – 5)?- 12x + 24 < 6x - 30
- 12x - 6x < - 30 - 24
- 18x < - 54 .(- 1)
  18x > 54
      x > 54/18
      x > 3