Solve this : Q State whether the following statements are true or false Give proof for your - Maths - Playing with Numbers

Question

Solve this :

Q State whether the following statements are true or false Give
proof for your answers
(i) For any real number x, x2 ≥ 0
(ii) The sum of two even numbers is even

Brijendra Pal · Accepted Answer

Hi, ireal number can be positive , negative or zero so when x is positive x2= +x2for example x = 1,2,3,4,
x2= 1,4,9,16,
 so basically all are greater than zero now when x is 0 then x2= 02= 0 so it is zero now when x is negative x2= -x×-x= x2 again positive for example  x = -1,-2,-3,-4,
x2= 1,4,9,16,
 so basically all are greater than zero so it is true
 iitwo even numbers can be of the form 2x, 2y sum  = 2x+2y =2x+y it is also even as it has 2 as its factor so it is also true

Solve this : Q. State whether the following statements are true or false. Give proof for your answers. (i) For any real number x, x2 ≥ 0. (ii) The sum of two even numbers is even.

Solve this :

Q. State whether the following statements are true or false. Give proof for your answers.
(i) For any real number x, x² $\geq$ 0.
(ii) The sum of two even numbers is even.