Write down the three inequalities that define the shaded region.
- Edexcel - GCSE Maths - Question 13 - 2017 - Paper 3
Question 13
Write down the three inequalities that define the shaded region.
Worked Solution & Example Answer:Write down the three inequalities that define the shaded region.
- Edexcel - GCSE Maths - Question 13 - 2017 - Paper 3
Step 1
Inequality from the line $y = -x + 2$ (red line)
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Answer
The line has a negative slope and intersects the y-axis at (0, 2). Since the shaded region is below this line, the inequality is:
y<−x+2
Step 2
Inequality from the line $y = x + 5$ (green line)
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Answer
The line has a positive slope and intersects the y-axis at (0, 5). The shaded region is below this line, so the inequality is:
y<x+5
Step 3
Inequality based on the horizontal line $y = -2$
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Answer
The shade also lies above this horizontal line, resulting in the inequality:
y>−2
