Solve (1/2)^x²-2x < 1/4
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Step-by-step explanation:
(1/2)x²-2x<1/4
2x²-2x>4
2x²-2x>2²
x²-2x>2
x²-2x-2>0
x²-2x+1-3>0
(x-1)²-3>0
=(x-1)²>3
:.x=2 (1)² ,x=3 (2)²=4>3
:.x>3
so answer is (3,infinity)
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