Question

What value of x is in the solution set of –2(3x 2) > –8x 6? –6 –5 5 6

Answer 1

Answer is D. on Edgenu.ity or 6.

Explanation:

Answer 2

Option (4) is correct.

x= 6 is in the solution of given inequality.

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.