Question

Solution set of the inequality
x^2 – 2x-3) (x + 5)^2(x - 2)^5
-----------------------------------------
(x^2 + 5) (x^2 + 3x – 10)
<=o is​

Answer 1

Answer:

The solution set of x

2

+2≤3x≤2x

2

−5, is

Medium

Solution

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Correct option is A)

x

2

+2≤3x≤2x

2

−5

a. x

2

+2≤3x

x

2

−3x+2≤0

x

2

−x−2x+2≤0

x(x−1)−2(x−1)≤0

(x−1)(x−2)≤0

x≤1 x≤2

I hope it's may help you ☺️

b. 3x≤2x

2

−5

2x

2

−3x−5≥0

2x

2

+2x−5x−5≥0

2x(x+1)−5(x+1)≥0

(x+1)(2x−5)≥0

x≥−1 x≥

2

5

Answer: A. [ϕ].