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Popular >

1/3 (x+4)-5/6 (x-3)>= 1/2 x+1

Solution

\frac{1}{3} (x + 4) - \frac{5}{6} (x - 3) \geq \frac{1}{2} x + 1

Solution

x \leq \frac{17}{6}

+2

Solution steps

\frac{1}{3} (x + 4) - \frac{5}{6} (x - 3) \geq \frac{1}{2} x + 1

Expand

\frac{1}{3} (x + 4) - \frac{5}{6} (x - 3) : - \frac{x}{2} + \frac{23}{6}

- \frac{x}{2} + \frac{23}{6} \geq \frac{1}{2} x + 1

Move

\frac{23}{6}

to the right side

- \frac{x}{2} \geq - \frac{17}{6} + \frac{1}{2} x

Move

\frac{1}{2} x

to the left side

- x \geq - \frac{17}{6}

Multiply both sides by

- 1

x \leq \frac{17}{6}

Popular Examples

x^{2} - 5 x - 3 = 2 x - 5

simplify-19.6(45/196)^2+9(45/196)+3 simplify

- 19.6 (\frac{45}{196})^{2} + 9 (\frac{45}{196}) + 3

(x-1/4)^2= 9/16

(x - \frac{1}{4})^{2} = \frac{9}{16}

simplify (9/4)^{5/2}simplify

(\frac{9}{4})^{\frac{5}{2}}

simplify 1/3+2/5 simplify

\frac{1}{3} + \frac{2}{5}

Frequently Asked Questions (FAQ)

What is 1/3 (x+4)-5/6 (x-3)>= 1/2 x+1 ?
The solution to 1/3 (x+4)-5/6 (x-3)>= 1/2 x+1 is x<= 17/6