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Popular >

1/6 (x-10)<x+15

Solution

\frac{1}{6} (x - 10) < x + 15

Solution

x > - 20

+1

Interval Notation

(- 20, \infty)

Solution steps

\frac{1}{6} (x - 10) < x + 15

Expand

\frac{1}{6} (x - 10) : \frac{1}{6} x - \frac{5}{3}

\frac{1}{6} x - \frac{5}{3} < x + 15

Move

\frac{5}{3}

to the right side

\frac{1}{6} x < x + \frac{50}{3}

Move

x

to the left side

- \frac{5}{6} x < \frac{50}{3}

Multiply both sides by

- 1

\frac{5}{6} x > - \frac{50}{3}

Multiply both sides by

6

5 x > - 100

Divide both sides by

5

x > - 20

Popular Examples

simplify (b^5)/(b^2)simplify

\frac{b ^{5}}{b ^{2}}

4 x + 12 = 24

5x^2-7x+4=6x+10

5 x^{2} - 7 x + 4 = 6 x + 10

simplify 1+(0.05)/(12)simplify

1 + \frac{0.05}{12}

x (7 - x) > 8

Frequently Asked Questions (FAQ)

What is 1/6 (x-10)<x+15 ?
The solution to 1/6 (x-10)<x+15 is x>-20