Answer:
Option (4) is correct.
x= 6 is in the solution of given inequality.
Step-by-step explanation:
Given inequality \(2\left (3x+\:2\right)\:>\:-8x+\:6\)
We have to find the solution set of given inequality.
Apply distributive rule, \(\:a\left(b+c\right)=ab+ac\) to both sides, we have,
\(-6x-4>-8x+6\)
Adding 4 both sides, we have,
\(-6x-4+4>-8x+6+4\)
\(-6x>-8x+10\)
Add 8x both sides, we have,
\(-6x+8x>-8x+10+8x\)
Simplify, we have,
\(2x>10\)
Divide both side by 2, we have,
\(x>5\)
Thus, values greater than 5 are in the solution.
Thus, x= 6 is in the solution.
Thus, Option (4) is correct.
