The graphs of $y = x$ and $y = -2$ are drawn on the grid - OCR - GCSE Maths - Question 17 - 2020 - Paper 1
Question 17
The graphs of $y = x$ and $y = -2$ are drawn on the grid.
The region R satisfies the following inequalities.
$y > 2$
$y \leq x$
$y < 4 - 2x$
By drawing one ... show full transcript
Worked Solution & Example Answer:The graphs of $y = x$ and $y = -2$ are drawn on the grid - OCR - GCSE Maths - Question 17 - 2020 - Paper 1
Step 1
$y > 2$
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Answer
Draw a dashed horizontal line at y=2. The region above this line represents all points where y is greater than 2.
Step 2
$y \leq x$
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Answer
Draw a solid line for y=x. This line includes the points on the line itself, representing that y can be equal to x.
Step 3
$y < 4 - 2x$
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Answer
Rearranging gives y=4−2x, which can be drawn as a dashed line. The region below this line represents where y is less than 4−2x.
Step 4
Final line and labeling the region R
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Answer
After plotting the lines, the region R is the area where all three inequalities overlap. Label this region clearly.
