SOLUTION: The first of two numbers minus four times a second number is at least -4. Three times the first number plus the second number is more than -3. Using x as the first number, and y as
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Question 370588: The first of two numbers minus four times a second number is at least -4. Three times the first number plus the second number is more than -3. Using x as the first number, and y as the second number, set up a system of inequalities and locate all possible solutions for x and y graphically. Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The first of two numbers minus four times a second number is at least -4. Three times the first number plus the second number is more than -3. Using x as the first number, and y as the second number, set up a system of inequalities and locate all possible solutions for x and y graphically.
:
Write an equation for each statement, arrange for graphing:
:
"The first of two numbers minus four times a second number is at least -4."
x - 4y => -4
-4y => -x - 4
Multiply by -1, this reverses the inequality sign
4y =< x + 4
Divide by 4
y =< .25x + 1; Red
:
"Three times the first number plus the second number is more than -3."
3x + y > -3
y > -3x - 3; green
:
Graph these two equations
The solution area:
At and below the red line
and
Above (to the right of) the green line
:
At test solution in this area: x=2, y=1
x - 4y => -4
2 - 4(1) =
2 - 4 = -2 (greater than -4)
and
3x + y > -3
3(2) + 1 =
6 + 1 = 7 greater than -3
