Question

If A. is a negative rational number and B. is a positive rational number, which of the following must be true? Give an example for the statements that are true and a COUNTEREXAMPLE for the statements that are false.

A. a - b is a positive
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B. b - a is a positive
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C. b + (-a) is a negative
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COUNTEREXAMPLE : its a theory HELP MEEEEE PLES

Answer 1

B,b‒a is a positive.

Explanation:

if a=‒x x=rational number

b=x

let's see these by examples

A,a‒b is a positive, ‒x‒x=‒2x (the answer is negative) so this is wrong

B,b‒a is a positive, x‒(‒x)=x+x=2x (the answer is positive)so this is correct answer

C,b+(‒a) is a negative,x+‒(‒x)=x‒(‒x)=x+x=2x(the answer is positive)so this is also wrong

i hope it helps you