What value of x is in the solution set of 8x - 6 > 12 - 2x?
-1, 0, 3, 5

Solution:

Given:

Inequality is 8x - 6 > 12 - 2x

Add 2x on both sides

8x - 6 + 2x > 12 - 2x + 2x

10x - 6 > 12

Add 6 on both sides,

10x - 6 + 6 > 12+6

10 x > 18

Divide by 10,

x > 1.8

Therefore, possible values of x are 3 and 5.

Alternate method:

Substituting x values in 8x - 6 > 12 - 2x

Put x = -1 in 8x – 6 > 12 - 2x

8(-1) - 6 > 12 - 2(-1)

-14 > 14 → False

Therefore,

x = -1 is not the solution.

Put x = 0 in 8x - 6 > 12 - 2x

8(0) - 6 > 12 - 2(0)

-6 > 12 → False

Therefore,

x = 0 is not the solution.

Put x = 3 in 8x - 6 > 12 - 2x

8(3) - 6 > 12 - 2(3)

18 > 6 → True

Therefore,

x = 3 is a solution.

Put x = 5 in 8x - 6 > 12 - 2x

8(5) - 6 > 12 - 2(5)

34 > 2 → True

Therefore,

x = 5 is a solution.

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What value of x is in the solution set of 8x - 6 > 12 - 2x?
-1, 0, 3, 5

Summary:

In the solution set of 8x - 6 > 12 - 2x, the possible values of x are 3 and 5.