What is 1/3 x+1/2 < 2/3-5/2 x ?

The solution to 1/3 x+1/2 < 2/3-5/2 x is x< 1/17

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1/3 x+1/2 < 2/3-5/2 x

\frac{1}{3} x + \frac{1}{2} < \frac{2}{3} - \frac{5}{2} x

x < \frac{1}{17}

Solution steps

\frac{1}{3} x + \frac{1}{2} < \frac{2}{3} - \frac{5}{2} x

Move

\frac{1}{2}

to the right side

\frac{1}{3} x < \frac{1}{6} - \frac{5}{2} x

Move

\frac{5}{2} x

to the left side

\frac{17}{6} x < \frac{1}{6}

Multiply both sides by

6

17 x < 1

Divide both sides by

17

x < \frac{1}{17}

\frac{9 x ^{10} y ^{3}}{- x ^{5} y ^{3}}

∣ x ∣ \geq - 7

3 (- 1) + 4

\frac{1}{2 8 ^{2}}

(4 x)^{- 1}

What is 1/3 x+1/2 < 2/3-5/2 x ?
The solution to 1/3 x+1/2 < 2/3-5/2 x is x< 1/17