show that for any real values of x 3-x is not greater than 7/(x+2)

If x is real can the value of 3+2x-x^2 be greater than 4,

Show that for all real values of x the value of (x^2-3x+4)/(x^2+3x+4) always lie between 1/7 and 7.

If ((x-5)(x^2-2x+1))/((x-7)(x^2+2x+3)) is positive for all real values of x, show that x has no value between 5 and 7.

X and Y each throw a dice.Show that odds in favour that X' 's throw is not greater than Y's are 7:5

For any real value of x the maximum value of 8x - 3x^2 is

Identify the quantifier in the statement and write the negation of the statement. For every real number x,x+4 is greater than x.

For any real positive value of x, show that 3-xcancelgt7/(x+2) .

If x is a real number than x^(2)+x+1 is (a) less than (3)/(4) (b) zero for at least one value of x (c) always negative (d) greater than or equal to (3)/(4)

Identify the Quantifiers in the following statements: For all real numbers x with xgt3,x^(2) is greater than 9.

Show that a local minimum value of f(x) = x + 1/x , x ne 0 is greater than a local maximum value.