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
y ≤ -2x + 2
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Answer
The line intersects the y-axis at (0, 2) and has a slope of -2. The shaded region is below this line, thus the inequality is expressed as:
y≤−2x+2
Step 2
y ≥ x + 5
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Answer
This line crosses the y-axis at (0, 5) with a slope of 1. The shaded region is above this line, giving us the inequality:
y≥x+5
Step 3
y ≥ -x - 1
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Answer
The line intersects the y-axis at (0, -1) with a slope of -1. The shaded area is above this line, so the corresponding inequality is:
