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1. (a) Write down the inequality shown on this number line - Edexcel - GCSE Maths - Question 2 - 2021 - Paper 2

Question 2

1. (a) Write down the inequality shown on this number line. (b) On the number line below, show the inequality -3 ≤ y < 4.

Worked Solution & Example Answer:1. (a) Write down the inequality shown on this number line - Edexcel - GCSE Maths - Question 2 - 2021 - Paper 2

Step 1

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Answer

The number line shows an open interval at the point -3. Since it does not include -3, we express this as the inequality:

$x > -3$

This indicates that x can take any value greater than -3.

Step 2

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Answer

To represent the inequality -3 ≤ y < 4 on the number line:

First, draw a closed circle at -3 to indicate that -3 is included in the interval.
Next, draw an open circle at 4 to indicate that 4 is not included.
Finally, draw a line connecting -3 and 4, indicating that y can take any value between these two points.

This can be summarized as:

$-3 \, \leq \, y \, < \, 4$

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