Solve the inequality

FireIce SG

x < -2, 1 < x < 4

wee_ws SG

Hi,

You should elaborate further about your feeling, then there could be more discussion. Thanks.

Cheers,
Wen Shih

Stampboy123 SG

this question

(x-1)^2>=0

f(x)=(x - 4)(x + 2)(x - 1)^2<0

so x not eq to 1

and (x-4)(x+2)<0 => -2<x<4

so -2<x<1 and 1<x<4

wee_ws SG

Hi,

To be correct, the solution is -2 < x < 1 OR 1 < x < 4. Another way of expressing the solution is -2 < x < 4 AND x =/= 1. In set notation, we can write x ϵ (-2, 1) ∪ (1, 4).

It is deceptive because there is a value in between that is not applicable. This type of question is common in school exams but rare in Cambridge questions. Thanks.

Cheers,
Wen Shih