Photo AI

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

Question icon

Question 16

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

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

Inequality 1: Upper Boundary

96%

114 rated

Answer

The line at the top is horizontal, represented by the equation:

y6y \leq 6

This inequality means that the shaded region is below or on the line at y = 6.

Step 2

Inequality 2: Lower Boundary

99%

104 rated

Answer

The line at the bottom is horizontal, represented by the equation:

y4y \geq 4

This inequality indicates that the shaded region is above or on the line at y = 4.

Step 3

Inequality 3: Left Boundary

96%

101 rated

Answer

The leftmost line is vertical, represented by the equation:

x2x \geq 2

This means the shaded region is to the right of or on the line at x = 2.

Step 4

Inequality 4: Right Boundary

98%

120 rated

Answer

The rightmost line is vertical, represented by the equation:

x4x \leq 4

This shows that the shaded region is to the left of or on the line at x = 4.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;