Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
3(8 – 4x) < 6(x – 5)?- 12x + 24 < 6x - 30
- 12x - 6x < - 30 - 24
- 18x < - 54 .(- 1)
18x > 54
x > 54/18
x > 3
we have
\(3(8-4x)<6(x-5)\)
Eliminate the parenthesis
\(24-12x<6x-30\)
Group terms that contain the same variable, and move the constants to the opposite side of the inequality
\(24+30<6x+12x\)
\(54<18x\)
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