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Graph the following inequality on the number line below - Junior Cycle Mathematics - Question 7 - 2015

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Graph the following inequality on the number line below. $x \leq 2, \; x \in \mathbb{R}$ --- Put a tick (✓) in the correct box in the table to show which inequali... show full transcript

Worked Solution & Example Answer:Graph the following inequality on the number line below - Junior Cycle Mathematics - Question 7 - 2015

Step 1

Graph the following inequality on the number line below.

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Answer

To graph the inequality x2x \leq 2, start by marking the point 2 on the number line. Since the inequality includes 'less than or equal to', draw a solid dot on 2 to indicate that this point is included in the solution set. Then, shade the number line to the left of 2, extending to negative infinity, to represent all values less than or equal to 2.

Step 2

Put a tick (✓) in the correct box in the table to show which inequality is graphed on the number line below.

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Answer

Since the number line is shaded to include all values less than or equal to 2, you should tick the box for the inequality x2,  xNx \leq 2, \; x \in \mathbb{N}, as it correctly reflects the values indicated by the graph on the number line.

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