" If "x" is a real number and "|x|<3" ,then "

If x is a real number and |x | lt 5 , then

Which of the following is the empty/non-empty set (i) {x:x"is a real number and"x^(2)-1=0} {x : x"is a real number and" x^(2)+1=0} (iii) {x : x "is a real number and" x^(2)-9=0} (iv) {x : x"is a real number and " x^(2)=x+2}

Which of the following is the empty/non-empty set (i) {x:x"is a real number and"x^(2)-1=0} {x : x"is a real number and" x^(2)+1=0} (iii) {x : x "is a real number and" x^(2)-9=0} (iv) {x : x"is a real number and " x^(2)=x+2}

If x is a real number and 3^x=81 , then 3xx2^x ?

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)

Show that the statement p: “If x is a real number such that x^3 + 4x = 0 , then x is 0” is true by direct method.

Show that the statement p: “If x is a real number such that x^3 + 4x = 0 , then x is 0” is true by method of contradiction.

Show that the statement p: “If x is a real number such that x3 + 4x = 0, then x is 0” is true by method of contrapositive.