The graph of 3y + 6x = 13 is drawn on the grid - OCR - GCSE Maths - Question 18 - 2019 - Paper 1
Question 18
The graph of 3y + 6x = 13 is drawn on the grid.
The region R satisfies these inequalities.
3y + 6x ≥ 13
y ≤ x − 2
x > 3
By drawing two more straight lines, find... show full transcript
Worked Solution & Example Answer:The graph of 3y + 6x = 13 is drawn on the grid - OCR - GCSE Maths - Question 18 - 2019 - Paper 1
Step 1
3y + 6x ≥ 13
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Answer
To graph the inequality, rewrite it in slope-intercept form:
y≥−2x+313
This line will be dashed since it's a 'greater than' inequality. The region above this line is part of the solution.
Step 2
y ≤ x − 2
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Answer
The second inequality can also be rewritten as:
y≤x−2
You will draw a dashed line for this inequality as well because of the 'less than or equal to' condition. The area below this line will be included in the solution.
Step 3
x > 3
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This inequality indicates a vertical line at x = 3. Again, this line should be dashed to represent 'greater than' while the region to the right of this line is part of the solution.
Step 4
Labeling the Region R
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Answer
After plotting all three lines, shade the region that satisfies all inequalities simultaneously. This region is where:
