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The shaded region shown on the grid is bounded by four straight lines - Edexcel - GCSE Maths - Question 16 - 2022 - Paper 2

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Question 16

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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

Find inequality for the left boundary

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Answer

The left boundary is the vertical line at x = -2. Therefore, the inequality is:

x2x \geq -2

Step 2

Find inequality for the right boundary

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Answer

The right boundary is the vertical line at x = 2. Therefore, the inequality is:

x2x \leq 2

Step 3

Find inequality for the upper boundary

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Answer

The upper boundary is the horizontal line at y = 6. Therefore, the inequality is:

y6y \leq 6

Step 4

Find inequality for the lower boundary

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Answer

The lower boundary is the horizontal line at y = 4. Therefore, the inequality is:

y4y \geq 4

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