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Write down an inequality in x represented by each of the number lines shown below - Junior Cycle Mathematics - Question 11 - 2018

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 - 2018

Step 1

Number line: -4 to 2 (open on both sides)

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Answer

The inequality represented by this number line is:

$-4 < x < 2$

The domain is: $x \in \mathbb{R}$ .

Step 2

Number line: -4 to 4 (closed at both ends)

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Answer

The appropriate inequality is:

$-4 \leq x \leq 4$

The domain is: $x \in \mathbb{Z}$ .

Step 3

Number line: -5 to 5 (open on both sides)

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Answer

The inequality for this number line is:

$-5 < x < 5$

The domain is: $x \in \mathbb{R}$ .

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