Solve sqrt(x-2) le 3...

Solve `sqrt(x-2) le 3 `

Text Solution

Verified by Experts

The correct Answer is:

`2 le x le 11 `

`sqrt(x-2) le 3` is meaning for `x - 2 ge 0 or x ge 2`
Also `sqrt(x-2) le 3`
`rArr x-2 le 9`
`rArr x le 11`
From (1) and (2) we have `2 le x le 11`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.3|13 Videos
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.4|11 Videos
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.1|12 Videos
SEQUENCE AND SERIES
CENGAGE|Exercise Question Bank|36 Videos
SETS AND RELATIONS
CENGAGE|Exercise Question Bank|15 Videos

CENGAGE-SET THEORY AND REAL NUMBER SYSTEM -Exercise 1.2

Find the values of x which satisfy the following inequalities simultan...
Text Solution
|
The longest side of a triangle is three times the shortest side and th...
Text Solution
|
Find the values of 1/x for the following values of x (2,5) (b ) [-5 ,...
Text Solution
|
Find the value of 1/x for the following values of x : (a) [-5 , -1] ...
Text Solution
|
Find all possible values ( range) of the following quadratic expressio...
Text Solution
|
Find all possible values of expressions (2+x^2)/(4-x^2)
Text Solution
|
Solve sqrt(x-1)/(x-2) lt 0
Text Solution
|
Solve sqrt(x-2) le 3
Text Solution
|