iGCSE Mathematics (0580) - C2.6 Inequalities - Exam Style Questions Paper 1- New Syllabus

Question

Write down the inequality represented on the number line.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• Topic C2.6 Inequalities: Represent simple inequalities on a number line (Core)

▶️ Answer/Explanation

The solid dot at $-5$ means $x$ can be equal to $-5$ (so we use $\le$).
The hollow dot at $1$ means $x$ is strictly less than $1$ (so we use $<$).
Combining these gives the range of values for $x$.
✅ Answer: $-5 \le x < 1$

Question

$x$ is an integer where $x \geqslant -3$ and $x < 3.$

Write down all the possible values of $x$.

▶️ Answer/Explanation

Solution

Ans: $-3, -2, -1, 0, 1, 2$

The inequality $x \geqslant -3$ includes all integers from $-3$ upwards.

The condition $x < 3$ excludes $3$ and above, so the maximum integer is $2$.

Thus, the possible integer values are $-3, -2, -1, 0, 1, 2$.

iGCSE Mathematics (0580) - C2.6 Inequalities - Exam Style Questions Paper 1- New Syllabus

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