Higher June 2022 Paper 1 Q23
23 On the grid, identify the region represented by
\[x \gt 3 \qquad \text{and} \qquad y \gt 1 \qquad \text{and} \qquad x + y \leqslant 7\]Label the region R. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Correct dashed lines for \(x = 3\) and \(y = 1\) and correct solid line for \(x + y = 7\) and correct region identified | B3 | B2 correct dashed lines for \(x = 3\) and \(y = 1\) and correct solid line for \(x + y = 7\) and no or incorrect region identified or correct lines for \(x = 3\) and \(y = 1\) and \(x + y = 7\) with any or all of the lines of the wrong type and correct region identified B1 correct lines for \(x = 3\) and \(y = 1\) and \(x + y = 7\) with any or all of the lines of the wrong type and no or incorrect region identified or any correct line of the correct type |
Additional guidance
Mark intention to draw correct lines
The region can be identified by being labelled R or being shaded or being left unshaded with all external regions shaded
\(x = 3\) must go from (3, 1) to at least (3, 4)
\(y = 1\) must go from (3, 1) to at least (6, 1)
\(x + y = 7\) must go at least from (3, 4) to (6, 1)
For B2 or B1 ignore other lines on the grid
For B3 ignore other lines on the grid if the correct region is identified