`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)

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

x gt -3 .

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

If | x - 1| gt 5 then x in ............

.......is the minimum value of x which satisfy the in quality 2x +4+3(x-5) gt7 .

2 (x-1) lt x + 5, 3 (x+2) gt 2-x

4x+3 lt 5x+7

Let f(x) = {{:(int_(0)^(x){5+|1-t|}dt",","if",x gt 2),(5x + 1",","if",x le 2):} Test f(x) for continuity and differentiability for all real x.