﻿    Find the value of x graphically satisfying [x] – 1 + x2 ≥ 0; where [.] denotes the greatest integer function.    : Kaysons Education

# Find The Value Of x graphically Satisfying [x] – 1 + x2 ≥ 0; Where [.] Denotes The Greatest Integer Function.

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## Question

### Solution

Correct option is

As,            nn     [x] – 1 + x2 ≥ 0

Thus to find the points for which (x) = x2 – 1 is greater than or equal tog(x) = –[x]

Where the two functions (x) and g(x) could be plotted as:

Thus from the above graph (x) ≥ g(x) when x Ïµ (–∞, A] ∪ [B, ∞), whereA is point of intersection of x2 – 1 and –[x] when –[x] = +2

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