If `x` is a real number and `|x|<5,` then X

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

If x is a real number and |5-(x-3)|+8lt15 , then (i) 1 le x le 15 (ii) 1lt x lt 15 (iii) 1 lt x le 15 (iv) 1 le x le 15

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

Which of the following sets are empty sets ? (i) { x:x^(2)=2 and x is a rational number} (ii) { x:x is an integer neither positive nor negative} (iii) { x:x is a boy student in a girls college} (iv) { x:xlt5 and also x gt 5 } (v) {x:x is a real number and x^(2)lt0}

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}

Show that the statement . p : 'If x is a real number such that x^(3)+ 4x=0, then x=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=0' is true by Method of contradiction

Show that the statement . p : 'If x is a real number such that x^(3)+ 4x=0, then x=0' is true by Method of contrapositive

Show that the statement p: If x is a real number such that x^3+4x=0 . then x is 0 is true by(i) direct method, (ii) method of contradiction,(iii) method of contrapositive.

Show that the statement: p : If x is a real number such that x^3+x=0,\ t h e n\ x\ i s\ 0 is true by (i)Direct method (ii).Method of contrapositive (iii)Method of contradiction.