iGCSE Mathematics (0580) - C2.6 Inequalities- Exam Style Questions Paper 3- New Syllabus
▶️ Answer/Explanation
Since the inequality is $x \ge 3$ (“greater than or equal to”), we use a solid filled circle over the number 3. Then, draw a straight line or arrow pointing to the right to represent all numbers greater than 3.
✅ Answer: A solid circle plotted at 3 with an arrow pointing to the right.
▶️ Answer/Explanation
To display this inequality on a number line, start by looking at the boundary conditions.
Draw an open (hollow) circle at $-3$ because the strictly ‘less than’ symbol ($<$) means $-3$ is not included in the solution set.
Draw a solid (filled-in) circle at $2$ because the ‘less than or equal to’ symbol ($\le$) means $2$ is included.
Finally, draw a bold, solid straight line connecting the hollow circle at $-3$ directly to the filled circle at $2$.
✅ Answer: A horizontal line drawn from an open circle at $-3$ to a closed circle at $2$
Draw an open (hollow) circle at $-3$ because the strictly ‘less than’ symbol ($<$) means $-3$ is not included in the solution set.
Draw a solid (filled-in) circle at $2$ because the ‘less than or equal to’ symbol ($\le$) means $2$ is included.
Finally, draw a bold, solid straight line connecting the hollow circle at $-3$ directly to the filled circle at $2$.
✅ Answer: A horizontal line drawn from an open circle at $-3$ to a closed circle at $2$