Question

x(x+1) (x+2) (x+3) : x(x+1)​

Answer 1

Answer:

Question

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Solve the following inequality:

(x+1)(x+2)(x+3)

(x−1)(x−2)(x−3)

>1

Easy

Solution :

verified

=>

(x+1)(x+2)(x+3)

(x−1)(x−2)(x−3)

>1

=>

(x+1)(x+2)(x+3)

(x−1)(x−2)(x−3)−(x+1)(x+2)(x+3)

>1

=>

(x+1)(x+2)(x+3)

x

3

−3x

2

+2x−3x

2

+9x−6−x

3

−3x

2

−2x−3x

2

−9x−6

>1

=>

(x+1)(x+2)(x+3)

−12x

2

−12

>0

=>

(x

2

+1)(x+2)(x−3)

(x

2

−1)

<0

=>

(x+2)(x+3)

x−1

<0

=>xϵ(−∞,−3)∪(−2,1).

solution

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