Solving inequality: 1-x square + 6x > 0

Solving inequality: 1-x square + 6x > 0


1-x square + 6x > 0
X squared - 6x - 1 < 0
(x-3)(x+2)>0
x>3
x



The square of X - 6x + 4


The square of X - 6x + 4



The solution set of inequality-6x2-x + 2 ≤ 0 is ()
A. {x | x ≤ − 23} B. {x | x ≥ 12} C. {x | x − 23 ≤ x ≤ 12} D. {x | x ≤ − 23 or X ≥ 12}


From the inequality - 6x2-x + 2 ≤ 0, 6x2 + X-2 ≥ 0 is obtained, that is, (3x + 2) (2x-1) ≥ 0, and the solution is x ≤ − 23 or X ≥ 12. Therefore, the solution set of the original inequality is {x | x ≤ − 23 or X ≥ 12}