Foundation November 2019 Paper 3 Q19
19 Solve \(3x - 5 \geqslant 10\).
Show your solution on the number line.

[4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(x \geqslant 5\) AND ![]() | 4 | B2 for \(x \geqslant 5\) as final answer or M1 for \(3x \geqslant 10 + 5\) or better AND B2FT for \(x \geqslant 5\), or their inequality, correctly shown or B1FT for \(x \geqslant 5\), or their inequality, shown with a correct circle and wrong arrow or wrong circle and correct arrow | Solution to inequality Allow M1 for this expression with other inequality symbols or equals sign or [\(x =\)] 5 as solution (can be implied by mark/circle on the diagram) or trials leading to selection of 5 or final correct trial using 5 Displaying the solution Diagram must show an inequality that fits on the number line for FT Mark to candidate’s advantage either \(x \geqslant 5\) or their inequality Accept a line or arrow If no solution to inequality seen: Filled circle at 5 arrow to right M1 B2 Empty circle at 5 arrow to right M1 B1 Filled circle at 5 arrow to left M1 B1 Empty circle at 5 arrow to left M1 B0 Mark at 5 no line or arrow M1B0 Circle and/or arrow at other than 5 M0B0 |
