The shaded region shown on the grid is bounded by four straight lines - Edexcel - GCSE Maths - Question 16 - 2022 - Paper 2
Question 16
The shaded region shown on the grid is bounded by four straight lines.
Find the four inequalities that define the shaded region.
Worked Solution & Example Answer:The shaded region shown on the grid is bounded by four straight lines - Edexcel - GCSE Maths - Question 16 - 2022 - Paper 2
Step 1
Inequality 1: Upper Boundary
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Answer
The line at the top is horizontal, represented by the equation:
y≤6
This inequality means that the shaded region is below or on the line at y = 6.
Step 2
Inequality 2: Lower Boundary
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Answer
The line at the bottom is horizontal, represented by the equation:
y≥4
This inequality indicates that the shaded region is above or on the line at y = 4.
Step 3
Inequality 3: Left Boundary
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Answer
The leftmost line is vertical, represented by the equation:
x≥2
This means the shaded region is to the right of or on the line at x = 2.
Step 4
Inequality 4: Right Boundary
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Answer
The rightmost line is vertical, represented by the equation:
x≤4
This shows that the shaded region is to the left of or on the line at x = 4.