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Solve the Inequation: 3z – 5 ≤ Z + 3 < 5z – 9, Z ∈ R. Graph the Solution Set on the Number Line - Mathematics

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Question

Solve the inequation:
3z – 5 ≤ z + 3 < 5z – 9, z ∈ R.
Graph the solution set on the number line

Solution

3z - 5  ≤ z + 3 < 5z - 9

3z - 5  ≤ z + 3 and z + 3 < 5z - 9

2z ≤ 8 and 12 < 4z

z ≤ 4 and 3 < z

Since, z ∈ R

∴ Solution set = {3 < z ≤ 4, x ∈ R }

It can be represented on a number line as:

  Is there an error in this question or solution?
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APPEARS IN

 Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 4: Linear Inequations (In one variable)
Exercise 4(B) | Q: 30 | Page no. 50
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Solve the Inequation: 3z – 5 ≤ Z + 3 < 5z – 9, Z ∈ R. Graph the Solution Set on the Number Line Concept: Representation of Solution on the Number Line.
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