The table below shows the graph of each of the given inequalities - Junior Cycle Mathematics - Question 12 - 2019
Question 12
The table below shows the graph of each of the given inequalities.
Fill in the missing graph and the missing inequality, labelled A and B.
1. (Example)
Inequality ... show full transcript
Worked Solution & Example Answer:The table below shows the graph of each of the given inequalities - Junior Cycle Mathematics - Question 12 - 2019
Step 1
Complete the inequality for A
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Answer
The inequality for A is x>2. This can be represented graphically by an open circle at 2, extending to the right towards positive infinity.
Step 2
Complete the inequality for B
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Answer
The inequality for B can be represented as x>5 or equivalently x≥6. The graph will show an open circle at 5 and a solid dot at 6, extending to the right.
Step 3
Complete the inequality H
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Answer
The inequality for H is A<18, which indicates that students must be younger than 18.
Step 4
Determine the appropriate set operation
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Answer
Ailbhe should select the ‘intersection’ to represent the rule of students being 13 years or older but less than 18, which means we are looking for values that satisfy both conditions simultaneously.
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