A inequality is given to us , and we need to find the solution set for it. The given inequality is :-
⇒ 3(8 - 4x) < 6(x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 +30 < 6x + 12x
⇒ 54 < 18x
⇒ x > 54/18
⇒x>3
This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 . Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .