SOLUTION: Choose the answer that lists all the quadrants in which the solution points are located for this system of inequalities:
2x + y <= 6
y >= 1
Quadrants 1 and 2
Quadrant
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-> SOLUTION: Choose the answer that lists all the quadrants in which the solution points are located for this system of inequalities:
2x + y <= 6
y >= 1
Quadrants 1 and 2
Quadrant
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Question 280494: Choose the answer that lists all the quadrants in which the solution points are located for this system of inequalities:
2x + y <= 6
y >= 1
Quadrants 1 and 2
Quadrants 1,2 and 4
Quadrants 2 and 3
Quadrants 2 and 4
2x + y <= 6 needs to be converted to get y on the left side of the equation and the x's on the right sides of the equation.
2x + y <= 6 is the original equation.
subtract 2x from both sides of the equation to get:
y <= -2x + 6
if x is 0, this equation becomes y <= 6
if x is 1, this equation becomes y <= 4
y is defiitely in the first quadrant.
if x is -1, this equation becomes y <= 8
y is definitely in the second quadrant.
Looks like your answer will be first and second quadrant.
A graph of both equations is shown below:
The equations are:
y >= 1
y <= -2x + 6
The shaded region is anything on or above the line y = 1, and anything on or below the line y = -2x + 6.
The shaded region is in quadrants 1 and 2.
The shaded region can never be in quadrants 3 and 4 because the value of y has to be greater than 1.
