farhansayeed11 farhansayeed11

24-10-2018
Mathematics

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

$QUICKKKKKKKKFor what values of a is the sum of the fractions 2a14 and a13 positive class=$

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loitzl9006 loitzl9006

25-10-2018

Answer:

[tex]a>\frac7{10}[/tex]

Step-by-step explanation:

[tex]\frac{2a-1}4+\frac{a-1}3>0\ \ \ \ \ |\cdot 12\\ 12\cdot\frac{2a-1}4+12\cdot\frac{a-1}3>12\cdot0\\ 3(2a-1)+4(a-1)>0\\ 6a-3+4a-4>0\\ 10a-7>0\\ 10a>7\ \ \ \ |:10\\ a>\frac7{10}[/tex]

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