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secondary 3 | E Maths
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Write inequalities to represent the following unshaded regions, R:
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Date Posted: 3 years ago
Views: 625
0 ≤ x ≤ 4
0 ≤ y ≤ 3
y ≤ x
0 ≤ y ≤ 3
y ≤ x
Note that the diagonal line passing through the origin O (0,0) and point (5,5) has equation y = x
Working (if it is not immediately obvious)
y = mx + c
Sub c = 0, x = 5, y = 5,
5 = m(5) + 0
5 = 5m
m = 1
So , y = x
We write y ≤ x as the inequality , since in region R, any points is either on the line or below it.
This means that the y-values are either smaller than or equal to their corresponding x-values.
Working (if it is not immediately obvious)
y = mx + c
Sub c = 0, x = 5, y = 5,
5 = m(5) + 0
5 = 5m
m = 1
So , y = x
We write y ≤ x as the inequality , since in region R, any points is either on the line or below it.
This means that the y-values are either smaller than or equal to their corresponding x-values.
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