The region R is shown on this grid - OCR - GCSE Maths - Question 12 - 2021 - Paper 1
Question 12
The region R is shown on this grid.
Region R is defined by four inequalities.
One of the inequalities is x ≥ 0.
Use the symbols < and > to complete the other three... show full transcript
Worked Solution & Example Answer:The region R is shown on this grid - OCR - GCSE Maths - Question 12 - 2021 - Paper 1
Step 1
y < -1x + 8
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Answer
This inequality represents the line with a negative slope intersecting the y-axis at 8, where y must be less than the value defined by the line.
Step 2
y > 2x - 6
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Answer
This inequality indicates values of y that are greater than those on the line defined, which has a positive slope and intersects the y-axis at -6.
Step 3
x + 2y < 24
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Answer
This inequality confines the region to values below the line described by the equation, limiting our x and y coordinates.
Step 4
New inequality for kite formation
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Answer
To form a kite, we can replace x > 0 with x < 10, which will adjust the region to be kite-shaped, maintaining the other boundaries.
