The value of x that is the solution set of the inequality is: D. 6
How to Solve an Inequality?
Find the value of x in the inequality, -2(3x + 2) > -8x + 6, by isolating x:
-2(3x + 2) > -8x + 6
Open bracket
-6x - 4 > -8x + 6
Add like terms
-6x + 8x > 4 + 6
2x > 10
x > 10/2
x > 5
This means that all possible values of x are greater than 5. 6 is greater than 5.
Therefore, the solution set is: D. 6
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