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

The solution to 1/2 (x+1)-1/3 (2x+1)> 1/3 (x-1) is x<1

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1/2 (x+1)-1/3 (2x+1)> 1/3 (x-1)

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

x < 1

Interval Notation

(- \infty, 1)

Solution steps

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

Expand

\frac{1}{2} (x + 1) - \frac{1}{3} (2 x + 1) : - \frac{x}{6} + \frac{1}{6}

Expand

\frac{1}{3} (x - 1) : \frac{1}{3} x - \frac{1}{3}

- \frac{x}{6} + \frac{1}{6} > \frac{1}{3} x - \frac{1}{3}

Move

\frac{1}{6}

to the right side

- \frac{x}{6} > - \frac{1}{2} + \frac{1}{3} x

Move

\frac{1}{3} x

to the left side

- \frac{x}{2} > - \frac{1}{2}

Multiply both sides by

2

- x > - 1

Multiply both sides by

- 1

x < 1

\frac{1 - \frac{5}{13}}{2}

98 k

7 t - 18 = - 116

x^{2} y + x y^{2}

31.25

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