((5)/(3t-1))2

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Solution for ((5)/(3t-1))2 equation:


D( t )

3*t-1 = 0

3*t-1 = 0

3*t-1 = 0

3*t-1 = 0 // + 1

3*t = 1 // : 3

t = 1/3

t in (-oo:1/3) U (1/3:+oo)

5/(3*t-1) < 2 // - 2

5/(3*t-1)-2 < 0

5/(3*t-1)+(-2*(3*t-1))/(3*t-1) < 0

5-2*(3*t-1) < 0

7-6*t < 0

(7-6*t)/(3*t-1) < 0

(7-6*t)/(3*t-1) < 0 // * (3*t-1)^2

(7-6*t)*(3*t-1) < 0

( 3*t-1 )

3*t-1 < 0 // + 1

3*t < 1 // : 3

t < 1/3

( 7-6*t )

7-6*t < 0 // - 7

-6*t < -7 // : -6

t > -7/(-6)

t > 7/6

(-oo:1/3) (1/3:7/6) (7/6:+oo) 3*t-1 - + + 7-6*t + + -

t in (-oo:1/3) U (7/6:+oo)

(-oo:1/3) U (7/6:+oo)

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