The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

....(1)

...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

...(3)

...(4)

Adding equation (3) and (4) we get

Substitute y=10 in equation (3) we get

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

Substitute y=0 in equation (3)

Substitute x=0 in equation (4)

Substitute y=0 in equation (4)

Substitute x=0 and y=40 and in equation (1)

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

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step-by-step explanation:

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