Question

(x^2+1)(x-2)^2(x-3)0 then x belongs to​

Answer 1

Step-by-step explanation:

Answer 2

Complete Question:

(x² + 1)(x - 2)²(x - 3) ≤ 0

Answer:

For the relation (x² + 1)(x - 2)²(x - 3) ≤ 0 x ∈ (- ∞, 3].

Step-by-step explanation:

Given,

(x² + 1)(x - 2)²(x - 3) ≤ 0

To find,

The interval of 'x' in (x² + 1)(x - 2)²(x - 3) ≤ 0

Calculation,

As in the L.H.S of the inequality, the term (x² + 1), and (x - 2)² is always positive, hence we can transpose it to R.H.S to become zero.

So, the equation looks as:

(x - 3) ≤ 0

⇒ x ≤ 3

⇒ 'x' can take all the values which are less than 3.

Mathematically,

X ∈ (- ∞, 3]

Therefore, for the relation (x² + 1)(x - 2)²(x - 3) ≤ 0 x ∈ (- ∞, 3].

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