The solution to the inequality, -2(8x – 4) < 2x + 5, is: B. x > 1/6.
How to Find the Solution of an Inequality?
To find the solution to an inequality, solve the inequality to isolate the variable.
Given the inequality, -2(8x – 4) < 2x + 5, open the bracket:
-16x + 8 < 2x + 5
Combine like terms
-16x - 2x < -8 + 5
-18x < -3
Divide both sides by -18 then reverse < to >
-18x/-18 > -3/-18
x > 1/6
The solution is: B. x > 1/6
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