What is the smallest positive integer for which is true and is greater than ?
Answer and explanation
Correct answer: A.
- Step 1: The roots of are and .
- Step 2: For , the quadratic is positive only for .
- Step 3: The smallest integer is . (Check: , while .)
Answer
.
Why not the others: At and the quadratic equals and , which are negative; at it equals . and also satisfy the inequality but are not the smallest.
Practise more Inequalities and modulus.
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