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Feb 10 2014 10:14pm
Solution Set Problems

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Feb 10 2014 10:43pm
x^(2/5) = 9
x^(2/5)^(5/2) = 9^(5/2)
x = 9^(5/2)
x = 3^5
x = 243

x^(-2) = 9
x^(-2)^(-1/2) = 9^(-1/2)
x = 9^(-1/2)
x = 1/3

a-2 = sqrt(2a-1)
(a-2)^2 = 2a-1
a^2 - 4a + 4 = 2a - 1
a^2 - 6a + 5 = 0
(a - 5)(a - 1) = 0
a = 5, 1 <- two solutions, both positive

7/(2x) - 2/x > 3/2
7/2 - 2 > 3x/2
7 - 4 > 3x
1 > x
x < 1

5 - 7/y < 2 + 5/y
5y - 7 < 2y + 5
3y < 12
y < 4
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