`Sol v e:|x-1|+|x-2|geq4.`

If x satifies |x-1|+|x-2|+|x-3|geq6, then (a)0lt=xlt=4 (b). xlt=-2orgeq4 (c). xlt=0orxgeq4 (d). None of these

Find the value of cos(sec^(-1)x+"c o s e c"^(-1)x) , |x|geq1

x^(2)-11x+28geq0

Solve min z = x+y when the constraints are x-y geq 1 x-y geq0 xgeq 0 y geq0

Prove that e^x-e^(-x)-2x >0\ AA\ x > 0. Hence, prove that e^x+e^(-x)\ geqx^2+2\ AA\ x\ geq0.

Solve the following linear programming problem: Minimize z=x+2y subject to 2x+y geq 3, x+2y geq 6, x,y geq 0

The roots of the equation a x^2+b x+c=0, a in R^+, are two consecutive odd positive (A) |b|lt=4a (B) |b|geq4a (C) |b|geq2a (D) none of these

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

If f(x) = 3x-1 when x geq 1 and f(x) = -x when x lt 1 then value of f(-2) is

Find the domain of f^(prime)(x) if f(x)=[x/(1+|x|)]if\ |x|geq1 , x/(1-|x|)if\ |x|<1 fig