Shading regions to satisfy a set of inequalities
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Lesson details
Key learning points
- In this lesson, we will learn how to shade regions between plotted lines to satisfy a set of inequalities.
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5 Questions
Q1.
Which of the following coordinates would y<3 satisfy?
(-1, 7)
(-2, 5)
(-3, 3)
Q2.
Which of the following coordinates would x > -2 satisfy?
(-2, 5)
(-3, 3)
(-7, 2)
Q3.
Which of the following coordinates would x + y > 5 satisfy?
(-3, 3)
(-7, 2)
(0, 5)
Q4.
Which of the following inequalities would satisfy the coordinates (3, -3)?
x > 3
y < -3
y < -4
Q5.
Which of the following inequalities would satisfy the coordinates (-1, -5)?
x + y > 1
x < -1
y > -4
5 Questions
Q1.
1) Which of the following regions represents x < 1?
Option 2
Option 3
Option 4
Q2.
Which of the following regions represents "y is greater than or equal to -2"?
Option 1
Option 2
Option 3
Q3.
Which inequality has been drawn on the axes below?
x + y < -4
x + y > -4
x + y > 4
Q4.
Which inequality has been drawn on the axes below?
y < -2x + 2
y > -2x + 2
y > 2x + 2
Q5.
5) Which shape is bound by the inequalities: x < 1, y < 3, x > -1, y > -3?
Rectangle
Trapezium
Triangle