REAL NUMBERS

Natural number are subsets of integers are subsets of real number i.e. N subsetZ, Z subsetR, N subsetR

Let agt1 be a real number . If S is the set of real number x that are solutions to the equation a^(2log_2x)=5+4x^(log_2a) , then

Let f (x)= cos (px)+ sin x be periodic, then p must be : a) Positive real number b) Negative real number c) Rational d) Prime

If z=1+it h e nz^(10) reduces to: A purely imaginary number An imaginary number A purely real number A complex number

State whether the following statements are true or false. Justify your answers, (i) Every irrational number is a real number.(ii) Every point on the number line is of the form sqrt(m) , where m is a natural number.(iii) Every real number is an irrational number.

For each of the following compound statements first identify the connecting words and then break it into component statements.(i) All rational numbers are real and all real numbers are not complex.(ii) Square of an integer is positive or negative

Write the negation of the following statements:(i) p : For every positive real number x, the number x - 1 is also positive.(ii) q : All cats scratch.(iii) r : For every real number x, either x > 1 or x < 1 .

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

For the statement ''19 is real number or a positive integer", "Or" is

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