Inequalities

Submitted by Iana on 26. April 2007 - 9:39

Solve the inequality x(4-x)<3. Hence use a suitable substitution to find the range of values of p for which (p^2_-p)(4+p-p²)<3.

Submitted by Tutor on 26. April 2007 - 15:54.

Solve the inequality x(4-x)<3. Hence use a suitable substitution to find the range of values of p for which (p^2_-p)(4+p-p²)<3.

$4x-x^2-3$ <0

$x^2-4x+3$ >0

$x^2-3x-x+3$ >0

$x(x-3)-(x-3)$ >0

$(x-3)(x-1)$ >0

x>3

x<1

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