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Popular >

(3(2t+2))/2 >(t-3)/4+t/3

Solution

\frac{3 ( 2 t + 2 )}{2} > \frac{t - 3}{4} + \frac{t}{3}

Solution

t > - \frac{45}{29}

+2

Interval Notation

(- \frac{45}{29}, \infty)

Decimal Notation

t > - 1.55172 \dots

Solution steps

\frac{3 ( 2 t + 2 )}{2} > \frac{t - 3}{4} + \frac{t}{3}

Multiply by LCM

36 (t + 1) > 3 (t - 3) + 4 t

Expand

36 (t + 1) : 36 t + 36

Expand

3 (t - 3) + 4 t : 7 t - 9

36 t + 36 > 7 t - 9

Move

36

to the right side

36 t > 7 t - 45

Move

7 t

to the left side

29 t > - 45

Divide both sides by

29

t > - \frac{45}{29}

Popular Examples

6 < - 2 y - 8

2 x - (6 x + 7) > - 19

p^{2} - 19 p + 84 = 0

6 x + 2 + 6 x < 14

simplify sqrt(208/143)simplify

\frac{208}{143}

Frequently Asked Questions (FAQ)

What is (3(2t+2))/2 >(t-3)/4+t/3 ?
The solution to (3(2t+2))/2 >(t-3)/4+t/3 is t>-45/29