Graphing Two Variable Inequalities in the X-Y Plane

The video tutorial demonstrates how to graph the inequality -14x - 7y < 4. It begins by isolating the variable y on one side of the inequality, emphasizing the importance of flipping the inequality sign when dividing by a negative number. The tutorial then shows how to graph the resulting equation y > -2x - 4/7 using a dotted line to indicate that the line itself is not included in the solution. Finally, the area above the line is shaded to represent the solution set.

What is the first step in graphing the given inequality?

• Divide both sides by -7

• Isolate Y on one side

• Draw the coordinate plane

• Add 14X to both sides

Tags

CCSS.HSA.REI.D.12

Why do we add 14X to both sides of the inequality?

• To eliminate X from the equation

• To make X the subject of the formula

• To isolate Y on one side

• To simplify the inequality

What happens to the inequality sign when you divide both sides by a negative number?

• It disappears

• It remains unchanged

• It becomes an equal sign

• It is reversed

Tags

CCSS.6.EE.B.8

What is the slope of the line represented by the inequality after simplification?

• -2

• -4/7

• 14

• 2

What is the y-intercept of the line after simplifying the inequality?

• 2

• -2

• 4/7

• -4/7

Tags

CCSS.HSF-IF.C.7A

What is the correct representation of the inequality after dividing both sides by -7?

• Y < -2X - 4/7

• Y > -2X + 4/7

• Y > -2X - 4/7

• Y < -2X + 4/7

How is the line represented in the graph for the inequality Y > -2X - 4/7?

• Thick line

• Dotted line

• Solid line

• No line

Tags

CCSS.HSA.REI.D.12

What is the significance of using a dotted line in the graph of the inequality?

• It indicates the maximum value of Y

• It is used for decoration

• It indicates values not included in the solution

• It indicates values equal to the inequality

Tags

CCSS.HSA.REI.D.12

What does the shaded area above the line represent in the graph?

• No Y values

• All Y values less than -2X - 4/7

• All Y values equal to -2X - 4/7

• All Y values greater than -2X - 4/7

Tags

CCSS.HSA.REI.D.12

How do you determine where to shade on the graph for the inequality Y > -2X - 4/7?

• Shade above the line

• Shade on the line

• Do not shade

• Shade below the line

Tags

CCSS.HSA.REI.D.12