Find the sum of all the integers satisfying the inequality `(x-1)(2x-7)<0`

Find the sum of all integers satisfying the inequalities log_(5)(x-3)+1/2log_(5)3lt1/2log_(5)(2x^(2)-6x+7) and log_(3)x+log_(sqrt3)x+log_(1/3)xlt6

Find the number of positive integers satisfying the inequality x^(2) -10x+16lt 0.

Find the greatest integer x satisfying the inequality (2x+1)/(3)-(3x-1)/(2)>1

Find the number of integers satisfying the inequality 1sqrt(log_((1)/(2))^(2)x+4log_(2)sqrt(x))

The number of integers satisfying the inequality is (x)/(x+6)<=(1)/(x)

Find the number of positive integers not satisfying the inequality log_(2)(4^(x)-2.2^(x)+17)>5

Find the set of all real values of x satisfying the inequality sec^(-1)xgt tan^(-1)x .

The number of integer satisfying the inequality (x)/(x+6)<(1)/(x) is :

Find the number of integers satisfying the following Inequalities x^(4)-2x^(2)-63<=0

Let a>2 be a constant.If there are just 18 positive integers satisfying the inequality (x-a)(x-2a)(x-a^(2))<0, then find the value of a.