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Case study·Hard exam skill (4/5)·No calculatorNeeds mentor review

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

Let tt be an integer satisfying 2t+5≤452t+5\le45 and t−3>−8.t-3>-8.
Total: 4 marks

(a) Solve 2t+5≤452t+5\le45. (1 mark)

(b) Solve t−3>−8t-3>-8. (1 mark)

(c) Write the combined real solution interval. (1 mark)

(d) How many integer settings are allowed? (1 mark)

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cbse-math-11.u2.t2-2.case.005

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