Question 44339
First Number: x
Second Number: y
Find all possible pairs of numbers such that the first is at least 8 more than 4 times the second,
{{{x >= 4y + 8}}}
and 12 less than three times the first is at most 12 more than 8 times the second.
{{{3x - 12 <= 8y + 12}}}
So....
{{{3x - 24 <= 8y}}}
{{{(3/8)x - 3 <= y}}} shade above line
And...
{{{x >= 4y + 8}}}
{{{x - 8 >= 4y}}}
{{{(1/4)x - 2 >= y}}} shade below line
Red Line: above
Green Line: below
{{{ graph( 600, 600, -10, 10, -10, 10, (3/8)x - 3, (1/4)x - 2 ) }}}
Answer: {x|{{{x < 8}}}}
Answer: {y|{{{y < 0}}}}
Possible Answers: (-3,-3),(-2,-3),(-10,-5)....