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Popular >

x/6-3/4 <= (3x)/8+1/2

Solution

\frac{x}{6} - \frac{3}{4} \leq \frac{3 x}{8} + \frac{1}{2}

Solution

x \geq - 6

+1

Interval Notation

[- 6, \infty)

Solution steps

\frac{x}{6} - \frac{3}{4} \leq \frac{3 x}{8} + \frac{1}{2}

Move

\frac{3 x}{8}

to the left side

- \frac{3}{4} - \frac{5 x}{24} \leq \frac{1}{2}

Move

\frac{3}{4}

to the right side

- \frac{5 x}{24} \leq \frac{5}{4}

Multiply both sides by

24

- 5 x \leq 30

Multiply both sides by

- 1

5 x \geq - 30

Divide both sides by

5

x \geq - 6

Popular Examples

simplify (1/2)^{1/2}simplify

(\frac{1}{2})^{\frac{1}{2}}

2 x - 1 = x + 2

simplify (18!)/(3!(18-3)!)simplify

\frac{18 !}{3 ! ( 18 - 3 ) !}

(2x)/3+(4x-1)/5 =2

\frac{2 x}{3} + \frac{4 x - 1}{5} = 2

simplify (7.61^2)/(14)simplify

\frac{7.6 1 ^{2}}{14}

Frequently Asked Questions (FAQ)

What is x/6-3/4 <= (3x)/8+1/2 ?
The solution to x/6-3/4 <= (3x)/8+1/2 is x>=-6