Question

suppose a+b=c+d and a is greater than c use proof by contradiction to show b is greater than d​

Answer 1

Answer:

If a+b=c+d

Step-by-step explanation:

So a>c and b<d so c =b and a=d

Answer 2

Step-by-step explanation:

Given a+b = c+d

So a-c = b-d

If a>c then (a-c)>0 ie. a-c is positive

Since LHS=RHS

b-d is also positive

Let us assume d>b

then b-d < 0 ie b-d is negative [common sense]

But this contradicts the fact that b-d is positive

So our assumption is wrong

:. b>d