InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Solve 9x – 7 ≤ 28 + 4x; x ∈ W |
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Answer» 9x – 1 ≤ 28 + 4x => 9x – 4x – 7 ≤ 28 + 4x – 4x (Subtracting 4x) => 5x – 7 ≤ 28 => 5x – 7 + 7 ≤ 28 + 7 (Adding 7) => 5x ≤ 35 => x ≤ 7 (Dividing by 5) Required answer = {0, 1, 2, 3, 4, 5, 6, 7} |
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| 2. |
Solve the in-equation:3 – 2x ≥ x – 12 given that x ∈ N |
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Answer» 3 – 2x ≥ x – 12 − 2x – x ≥ −12 – 3 − 3x ≥ − 15 X ≤ 5 Since, x ∈ N, therefore, Solution set = {1, 2, 3, 4, 5} |
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| 3. |
If 25 – 4x ≤ 16, find:(i) the smallest value of x, when x is a real number,(ii) the smallest value of x, when x is an integer. |
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Answer» 25 – 4x ≤ 16 − 4x ≤ 16 – 25 − 4x ≤ −9 X ≥ 9/4 X ≥ 2.25 (i) The smallest value of x, when x is a real number, is 2.25. (ii) The smallest value of x, when x is an integer, is 3. |
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| 4. |
If 5x – 3 ≤ 5 + 3x ≤ 4x + 2, express it as a ≤ x ≤ b and then state the values of a and b. |
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Answer» 5x – 3 ≤ 5 + 3x ≤ 4x + 2 5x – 3 ≤ 5 + 3x and 5 + 3x ≤ 4x + 2 2x ≤ 8 and – x ≤ −3 X ≤ 4 and x ≥ 3 Thus, 3 ≤ x ≤ 4 Hence, a = 3 and b = 4 |
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