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 for the line y = -x + 2
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Answer
The first line has the equation of the form y=−x+2. Since the shading is below this line, the inequality can be expressed as:
y≤−x+2
Step 2
Inequality for the line y = x + 5
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Answer
The second line is given by the equation y=x+5. The shaded area is below this line. Thus, the inequality becomes:
y≤x+5
Step 3
Inequality for the line y = -2x - 4
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Answer
The third line is represented by y=−2x−4. Since the shading is above this line, we write the inequality as:
