Same chapter3 marksDifficulty: Medium
Find the greatest integer x for which 4x − 7 < 2x + 5.
Linear Inequations
3 marksDifficulty: Medium
Solve 7 ≥ 3x − 2 > −5 for x in the set of integers, list the solution set, and state the number of elements in it.
Original Khojo Papers practice question — not from a past board paper.
Answer
The solution set is {0, 1, 2, 3} and it has 4 elements.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
Adding 2 throughout gives 9 ≥ 3x > −3, and dividing by 3 gives 3 ≥ x > −1. The integers greater than −1 and not greater than 3 are 0, 1, 2 and 3, so the solution set has 4 elements.
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