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State which of the following are mathema...

State which of the following are mathematical statements and which are not? Give reason.
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Knowledge Check

  • State which of the following statement is false

    A
    the most important feature of a linear programming problem is the presence of linearity in the problem
    B
    the objective function may assume its optimal value at more them one corner point of the feasible region
    C
    multiple solutions of linear programming problem are solution each of which maximize or minimize the objective function
    D
    an infeasible linear programming problem has no feasible solution

  • State which of the following statement is false ?

    A
    If `A ={0,1,2,3},B={-3,-2,-1,0,1} and f:A rarr B ` is the mapping defined by `f(x)=x-3` for all `x in A`, then f is a one-one mapping
    B
    A constant mapping will be 0ne-one when its domain constans only one element.
    C
    Functions f and g are defined as follows:`f:RR-{2} rarrRR,` where `f(x)=(x^(2)-4)/(x-2) and g:RR rarrRR,` where `g(x)=x+2,` then `f=g`
    D
    `f(x)=sqrt(x^(2)+4x-1)` then `f(-2)` is not exist.

  • State which of the following statement is false ?

    A
    the objective function of an lpp may assume its optimal value at more than one corner points of the feasible region
    B
    the feasible region of a linear programming problem is a convex set
    C
    `s={(x,y: x^(2) +yy^(2) le4}` is a convex set
    D
    any solution to a general lpp which satisfies the non negative restrictions of the problem is called a optimal solution

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