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

B. b - a is a positive

C. b + (-a) is a negative

COUNTEREXAMPLE : its a theory HELP M PLES

B,b‒a is a positive.

Step-by-step 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

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet