What is 3-((2x)/3)<(1/2)+((3x)/4) ?

The solution to 3-((2x)/3) 30/17

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3-((2x)/3)<(1/2)+((3x)/4)

3 - (\frac{2 x}{3}) < (\frac{1}{2}) + (\frac{3 x}{4})

x > \frac{30}{17}

Interval Notation

(\frac{30}{17}, \infty)

Decimal Notation

x > 1.76470 \dots

Solution steps

3 - (\frac{2 x}{3}) < (\frac{1}{2}) + (\frac{3 x}{4})

Move

3

to the right side

- \frac{2 x}{3} < - \frac{5}{2} + \frac{3 x}{4}

Move

\frac{3 x}{4}

to the left side

- \frac{17 x}{12} < - \frac{5}{2}

Multiply both sides by

12

- 17 x < - 30

Multiply both sides by

- 1

17 x > 30

Divide both sides by

17

x > \frac{30}{17}

- 6 b + 3 + 4 b = - 3 b + 8

192 x^{2} y + 72 x^{3} - 24 r x y - 9 r x^{2}

\frac{4}{4 + 1}

13 = \frac{8}{3} (4 x + 9)

3 4^{2}

What is 3-((2x)/3)<(1/2)+((3x)/4) ?
The solution to 3-((2x)/3)<(1/2)+((3x)/4) is x> 30/17