On the grid, shade the region that satisfies all these inequalities - Edexcel - GCSE Maths - Question 14 - 2017 - Paper 2
Question 14
On the grid, shade the region that satisfies all these inequalities.
$y > 1$
$x + y < 5$
$y > 2x$
Label the region R.
Worked Solution & Example Answer:On the grid, shade the region that satisfies all these inequalities - Edexcel - GCSE Maths - Question 14 - 2017 - Paper 2
Step 1
$y > 1$
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Answer
To graph this inequality, draw a horizontal line at y=1. This line is dashed because the inequality does not include the line itself (indicating that y can be greater than 1 but not equal to it). The shaded region is above this line.
Step 2
$x + y < 5$
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Answer
Rearranging the equation gives us y<−x+5. To graph, draw a dashed line for y=−x+5. The shaded region will be below this line.
Step 3
$y > 2x$
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Answer
This inequality can be rewritten as y=2x. Plot this line, which is also dashed because y does not include the line itself. The shaded area is above this line.
Step 4
Label the region R
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Answer
The intersection of the shaded areas from all the inequalities defines the region labeled R. Shade this overlapping area distinctly to indicate the solution set.
