Answer: x < 1/2
This is the same as saying x < 0.5 since 1/2 = 0.5
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Work Shown:
2(1-x) > 2x
2*1 + 2*(-x) > 2x ..... distribute
2 - 2x > 2x
2 > 2x+2x .... adding 2x to both sides
2 > 4x
4x < 2 ..... flip both sides; flip the inequality sign
x < 2/4 ..... dividing both sides by 4; see note below
x < 1/2
Note: We do not flip the inequality sign here because we are dividing both sides by a positive value. The inequality sign would only flip if you divide both sides by a negative number.