Complete the inequality in n below so that it has the solution set shown - Junior Cycle Mathematics - Question 8 - 2015
Question 8
Complete the inequality in n below so that it has the solution set shown.
Inequality
≤ n ≤ , n ∈ N.
Solution Set
0 1 2 3 4 5 6
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Worked Solution & Example Answer:Complete the inequality in n below so that it has the solution set shown - Junior Cycle Mathematics - Question 8 - 2015
Step 1
Complete the inequality in n below so that it has the solution set shown.
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Answer
To establish the correct inequality for the natural numbers (N) that aligns with the provided solution set, we observe that the solution includes the integers 2, 3, 4, and 5. Therefore, the completed inequality should be:
2≤n≤4
This ensures that n is confined to the integers 2, 3, 4, and does not include 1 or 0.
Step 2
Complete the inequality in x below so that there is only one possible value of x, where x ∈ R.
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Answer
To limit x to only one specific value, both sides of the inequality must be equal. Thus, the expression can be written as:
17−3≤x≤17−3
Simplifying this gives:
14≤x≤14
This indicates that x can only equal 14.
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