13-4x2≥0 x2-6x+4≥0 (x-1)(2-x)≥0 x(1-x)>x(2x-3)+1 -6x2-x+1≤0

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13-4x2≥0 x2-6x+4≥0 (x-1)(2-x)≥0 x(1-x)>x(2x-3)+1 -6x2-x+1≤0
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13-4x2≥0 x2-6x+4≥0 (x-1)(2-x)≥0 x(1-x)>x(2x-3)+1 -6x2-x+1≤0
13-4x2≥0 x2-6x+4≥0 (x-1)(2-x)≥0 x(1-x)>x(2x-3)+1 -6x2-x+1≤0

13-4x2≥0 x2-6x+4≥0 (x-1)(2-x)≥0 x(1-x)>x(2x-3)+1 -6x2-x+1≤0
(1)13-4x2≥0
-√13/2≤x≤√13/2
(2) x2-6x+4≥0
x≥3+√5或x≤3-√5
(3)(x-1)(2-x)≥0
1≤x≤2
(4) x(1-x)>x(2x-3)+1
(3x-1)(x-1)