solve `1le|x-1|le3`,

solve |x-1|le2 .

Solve the following systems of linear inequations: 1le|x-2|le3

Solve 1le(3x^(2)-7x+8)/(x^(2)+1)le2 .

Solve: -2 le 6x-1< 2 .

If f(x) = ax^(2) + bx + c is such that |f(0)| le 1, |f(1)| le 1 and |f(-1)| le 1 , prove that |f(x)| le 5//4, AA x in [-1, 1]

Prove that following: underset(1)overset(4)intf(x)dx, where f(x) ={ {:(4x+3, if 1 le x le2), (3x+5, if 2 le x le4)

Using integration , find the area of the region given below. {(x,y): 0 le y le x^2+1, 0 le y le x+1, 0 le x le 2}