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Popular >

x/8+x/8 <6+x

Solution

\frac{x}{8} + \frac{x}{8} < 6 + x

Solution

x > - 8

+1

Interval Notation

(- 8, \infty)

Solution steps

\frac{x}{8} + \frac{x}{8} < 6 + x

Add similar elements:

\frac{x}{8} + \frac{x}{8} = 2 \cdot \frac{x}{8}

2 \cdot \frac{x}{8} < 6 + x

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

\frac{x \cdot 2}{8} < 6 + x

Cancel the common factor:

2

\frac{x}{4} < 6 + x

Multiply both sides by

4

x < 24 + 4 x

Move

4 x

to the left side

- 3 x < 24

Multiply both sides by

- 1

3 x > - 24

Divide both sides by

3

x > - 8

Popular Examples

x - 5 > 2

x/3-x+1/3 >x+5/4

\frac{x}{3} - x + \frac{1}{3} > x + \frac{5}{4}

4 x > 12

4(3x-20)-(-10)(2x-3)>-122

4 (3 x - 20) - (- 10) (2 x - 3) > - 122

x - 2 (1 - x) > 7

Frequently Asked Questions (FAQ)

What is x/8+x/8 <6+x ?
The solution to x/8+x/8 <6+x is x>-8