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