`sqrt(x- 5 )-sqrt(9-x ) gt 1, ` is meaningful ,if `x- 5 ge 0 " and "9 - x ge 0` `rArr x in [ 5, 9]` Thus , the integral values of x are 5,6,7,8,9 of these only x= 9 stisfies the given inequality .
Topper's Solved these Questions
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.1|12 Videos
SET THEORY AND REAL NUMBER SYSTEM
CENGAGE|Exercise Exercise 1.2|8 Videos
SEQUENCE AND SERIES
CENGAGE|Exercise Question Bank|36 Videos
SETS AND RELATIONS
CENGAGE|Exercise Question Bank|15 Videos
Similar Questions
Explore conceptually related problems
solve sqrt((x-5))-sqrt(9-x)>1,x in Z
Solve sqrt(x-1)>sqrt(3-x)
Solve sqrt(2x+9)-sqrt(x-4)=3 .
Solve x sqrt(x)(sqrt(x)+(1)/(sqrt(x)))
Solve sqrt(5-x) gt x + 1
Prove that sqrt(x^(-1)y)xxsqrt(y^(-1)z)xxsqrt(z^(-1)x)=1