Write down an inequality in x represented by each of the number lines shown below - Junior Cycle Mathematics - Question 11 - 2019
Question 11
Write down an inequality in x represented by each of the number lines shown below.
Put a tick (✓) in the correct box in each case to show whether x ∈ ℕ, x ∈ ℤ, or x ... show full transcript
Worked Solution & Example Answer:Write down an inequality in x represented by each of the number lines shown below - Junior Cycle Mathematics - Question 11 - 2019
Step 1
Inequality in x represented by the first number line:
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Answer
The first number line shows the closed dot at -3 and an open dot at 2. This indicates the inequality is:
−3≤x<2
Since -3 is included and 2 is not, x is in the set of integers, therefore:
x∈Z
Step 2
Inequality in x represented by the second number line:
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Answer
The second number line shows closed dots at -4 and 4. This means the inequality is:
−4≤x<4
Both -4 and 4 are included in the range. Thus, x is in the set of real numbers:
x∈R
Step 3
Inequality in x represented by the third number line:
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Answer
This number line shows closed dots at -4 and -1 while open dots at 0 and 4. Hence, the inequality is:
−4≤x<0
This shows x belongs to the integers:
x∈Z
Step 4
Inequality in x represented by the fourth number line:
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Answer
The final number line displays closed dots at -2 and 4 which gives us:
−2<x<4
Thus, x must be in the real numbers:
x∈R
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