Answer:
The number line which represents the solution set for inequality 3(8-4x)<6(x-5) is \((3,\infty)\)
Step-by-step explanation:
Given an inequality 3(8-4x)<6(x-5).
We have to find the solution set for the given inequality.
\(3(8-4x)<6(x-5)\)
⇒ \(24-12x<6x-30\)
⇒ \(24+30<6x+12x\)
⇒ \(54<18x\)
⇒ \(x>\frac{54}{18}\)
⇒ \(x>3\)
Hence, the number line which represents the solution set for inequality 3(8-4x)<6(x-5) is \((3,\infty)\) i.e start from 3 and goes up to infinity.
