Year 11 · Specialist Mathematics

The number line

Free examples and worked answers. No account needed.

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Practise the method.

Absolute values, intervals and inequalities.

Example 1

Fixed centre and an exploratory point on a number line.12probe xThe segment represents |x − 12|Compare its length with 6 using the inequality.
Move the probe around the fixed centre and relate its distance to the inequality.
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Answer:

Example 2

The two given points on a number line, with an optional split at zero.-45Length has no direction; both pieces contribute.
Split the segment at zero and compare the two distances.
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Answer:

Example 3

Fixed centre and an exploratory point on a number line.9probe xThe segment represents |x − 9|Compare its length with 6 using the inequality.
Move the probe around the fixed centre and relate its distance to the inequality.
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Answer: