Answer :
The value of x in the solution set of the inequality -2(3x + 2) > -8x + 6 is 6.
Inequality is defined as relationship between non-equal numbers or expressions. The solution set of an inequality is the set of values that satisfies the given inequality.
To determine the solution set of the given inequality, isolate the variable to one side and simplify.
-2(3x + 2) > -8x + 6
-6x - 4 > -8x + 6
8x - 6x > 6 + 4
2x > 10
x > 5
x = (5, +∞)
Hence, the solution set of the given inequality is the set of numbers greater than 5. Among the given choices, only 6 is greater than 5. Therefore, the value of x is 6.
Learn more about inequality here: brainly.com/question/13912022
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