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For what values of a is the sum of the fractions 2a−1/4 and a−1/3 positive?
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For what values of a is the sum of the fractions 2a−1/4 and a−1/3 positive?

User AndreasInfo
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\left(2a-(1)/(4)\right)+\left(a-(1)/(3)\right) > 0\\\\(2a+a)-(1)/(4)-(1)/(3) > 0\\\\3a-(1)/(4)-(1)/(3) > 0\qquad|\cdot12\\\\12(3a)-12\left((1)/(4)\right)-12\left((1)/(3)\right) > 0\\\\36a-3-4 > 0\\\\36a-7 > 0\qquad|+7\\\\36a > 7\qquad|:36\\\\a > (7)/(36)

User Mpjan
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