Linear Inequations
ICSE · Class 8 · Mathematics
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Quick Quiz: Linear Inequations
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Solve the inequation for a real number x: -2x + 14 < 6.
Find the solution set of 30 - 4(2x - 1) < 30 when x is a positive integer.
For the inequation 12 + 6x > 0, where x is a negative integer, what is the solution set?
For x < 4 and x ∈ N, which set is the solution set?
Sample Questions
For x < 5 and x ∈ W, which set is the solution set?
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{0, 1, 2, 3, 4}
Step 1: Whole numbers begin with 0. Step 2: Find all whole numbers less than 5. They are 0, 1, 2, 3, and 4. So the solution set is {0, 1, 2, 3, 4}.
For x < 3 and x ∈ Z, which set is the solution set?
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{..., -3, -2, -1, 0, 1, 2}
Step 1: Integers include negative numbers, zero, and positive numbers. Step 2: Find all integers less than 3. These are ..., -3, -2, -1, 0, 1, 2. So the solution set is {..., -3, -2, -1, 0, 1, 2}.
For -3 ≤ x < 6 and x ∈ W, which set is the solution set?
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{0, 1, 2, 3, 4, 5}
Step 1: Whole numbers are 0, 1, 2, 3, ... Step 2: The condition -3 ≤ x < 6 allows whole numbers from 0 up to 5. So the solution set is {0, 1, 2, 3, 4, 5}.
For -3 ≤ x < 6 and x ∈ Z, which set is the solution set?
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{-3, -2, -1, 0, 1, 2, 3, 4, 5}
Step 1: Integers include negative numbers and positive numbers. Step 2: Find all integers from -3 up to 5. The number 6 is not included because the sign is < 6. So the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5}.
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