Inequalities involving modulus function `|x-1|+|x-4|ge4`

Inequalities involving modulus function |(2)/(x-4)|>1;x!=1

Solve |x-1|+|x-2| ge 4

Solve the inequation: |x-1|+|x-2|ge3

Show that the following system of linear inequalities has no solution x+2y le 3, 3x +4y ge 12, x ge 0, y ge 1 .

|x^(2)-4x+4|ge 1

Solve the system of inequation: |x-1|le5, |x|ge 2 .

Solve the inequation: |x+1|ge3

Solve the following system of inequations: 4x-5lt11,-3x-4ge8 .

Solve the inequalities for real x and represent solution on number line (2x-3)/(4)+9ge3+(4x)/(3) , xinR