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

The solution to 2(1/3-x)+x/2 >3 is x<-14/9

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

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

x < - \frac{14}{9}

Interval Notation

(- \infty, - \frac{14}{9})

Decimal Notation

x < - 1.55555 \dots

Solution steps

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

Multiply both sides by

2

4 (\frac{1}{3} - x) + x > 6

Expand

4 (\frac{1}{3} - x) : \frac{4}{3} - 4 x

\frac{4}{3} - 4 x + x > 6

Add similar elements:

- 4 x + x = - 3 x

\frac{4}{3} - 3 x > 6

Move

\frac{4}{3}

to the right side

- 3 x > \frac{14}{3}

Multiply both sides by

- 1

3 x < - \frac{14}{3}

Divide both sides by

3

x < - \frac{14}{9}

2 x^{2} - 2 x = 1

- \frac{1}{2} \leq \frac{4 \cdot 3 x}{5} \leq \frac{1}{4}

8 (\frac{1}{4}) - 1 + 0.5 (10)

\frac{10 !}{3 ! ( 10 - 3 ) !}

100 n^{2} - 10 = 15