Answer:
Part 1) The larger integer is 11
Part 2) The denominator is 5
Part 3) The positive integer is 4
The graph in the attached figure
Explanation:
Part 1)
Let
x----> the smaller positive integer
y-----> the larger positive integer
we know that
-----> equation A
-----> equation B
substitute equation B in equation A and solve for y

using a graphing calculator-----> solve the quadratic equation
The solution is y=11

Part 2)
Let
x----> the numerator of the fraction
y-----> the denominator of the fraction
we know that
----> equation A
----> equation B
substitute equation A in equation B and solve for y


Part 3)
Let
x----> the positive integer
we know that

solve for x

using a graphing calculator-----> solve the quadratic equation
The solution is x=4