`3x-7 gt 5x-1`

3x-7 gt 2 (x-6), 6-x gt 11 -2x

Solve the system of inequalities: 3x-7 lt 5+x" "…(1) 11-5 x le 1" "…(2)

If x in RR then find the solution set of the inquation |3x-7| gt 4 .

Prove that the ineuations (2x+1)/(7x-1) gt 5 and (x+7)/(x-8)gt2 have no solutions .

5x+1 gt - 24, 5x-1 lt 24

In each of the following problems find the solution set of the given system of inequations: (10x)/9-(4x-1)/7gt(3x-2)/5 and (2(x-1))/5-4xgt(1-3x)/2-24, x in R

IF {x in R:xgt0} , find the solution set of the inequation 7/(2x)-5/7gt5/(3x)-2/3 . Also represent the solution set on the real number line.

Let's find the roots of the equations 5x - (4x - 7) (3x - 5) = 6 - 3(4x - 9) (x - 1)

Sketch the region in which the points satisfying the following inequality lie. (i)2x-3y-5 gt 0 " (ii) " -3x+4y+7 gt 0 (iii)x gt 2 " (iv) " y gt -3