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Popular >

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

Solution

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

Solution

x < - \frac{1}{5}

+2

Solution steps

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

Expand

\frac{1}{2} (1 + x) : \frac{1}{2} + \frac{1}{2} x

Expand

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

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

Move

\frac{1}{2}

to the right side

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

Move

\frac{1}{3} x

to the left side

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

Multiply both sides by

6

5 x < - 1

Divide both sides by

5

x < - \frac{1}{5}

Popular Examples

3 x^{2} + 10 x - 12 = 0

factor 2x^3-2x^2-4x factor

2 x^{3} - 2 x^{2} - 4 x

factor 7x^2-10x-8 factor

7 x^{2} - 10 x - 8

factor 45z^2-20z^4 factor

45 z^{2} - 20 z^{4}

- x^{2} + 9 x = x^{2} - 5 x

Frequently Asked Questions (FAQ)

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