What is (5x-2)/3-(x-8)/4 >(x+14)/2-2 ?

The solution to (5x-2)/3-(x-8)/4 >(x+14)/2-2 is x>4

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(5x-2)/3-(x-8)/4 >(x+14)/2-2

\frac{5 x - 2}{3} - \frac{x - 8}{4} > \frac{x + 14}{2} - 2

x > 4

Interval Notation

(4, \infty)

Solution steps

\frac{5 x - 2}{3} - \frac{x - 8}{4} > \frac{x + 14}{2} - 2

Multiply by LCM

4 (5 x - 2) - 3 (x - 8) > 6 (x + 14) - 24

Expand

4 (5 x - 2) - 3 (x - 8) : 17 x + 16

Expand

6 (x + 14) - 24 : 6 x + 60

17 x + 16 > 6 x + 60

Move

16

to the right side

17 x > 6 x + 44

Move

6 x

to the left side

11 x > 44

Divide both sides by

11

x > 4

5 - \frac{5}{3}

\frac{1 0 ^{6}}{1 0 ^{4}}

22 c + 33

e^{- t} \cdot e^{- t}

(x - 6)^{2} = 81

What is (5x-2)/3-(x-8)/4 >(x+14)/2-2 ?
The solution to (5x-2)/3-(x-8)/4 >(x+14)/2-2 is x>4