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1. |
EASY
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Solve \(3x-5 > 7\)
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2. |
EASY
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Solve \(7-2x < -3\)
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3. |
MEDIUM
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Given \( a > b > c > d \), which of the following must be true?
- \(a-b>c-d\)
- \(ab>cd\)
- \(a+c>b+d\)
- \(\frac{a}{d}>\frac{c}{b}\)
- \(a+b>c+d\)
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4. |
MEDIUM
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If \((x-3)^2 > (x-3)^3\) and \((x-3)^3\le0\), which of the following is the most accurate range for x?
- \(x>3\)
- \(x\ge3\)
- \(x=3\)
- \(x\le3\)
- \(x<3\)
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5. |
HARD
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Given \(a>b>c>d>0\), which of the following is the greatest?
- \(\frac{a}{d}\)
- \(\frac{c}{b}\)
- \(\frac{c}{d}\)
- \(\frac{a}{b}\)
- \(\frac{d}{a}\)
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6. |
HARD
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Solve \(3x^2-3 > 2x^2+2x\)
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7. |
HARD
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Solve \(2x-4 < 3x+7 < x+1\)
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8. |
HARD
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Solve \(x^4 > x^3\)
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9. |
HARD
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Solve \(x^4+x < x^3+x^2\)
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10. |
HARD
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Solve for \(x\) where \(4x < 16\) and \(-3x < -6\)
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