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Popular >

5/4 x-2/3 >= 8/3 x-3/2

Solution

\frac{5}{4} x - \frac{2}{3} \geq \frac{8}{3} x - \frac{3}{2}

Solution

x \leq \frac{10}{17}

+2

Interval Notation

(- \infty, \frac{10}{17}]

Decimal Notation

x \leq 0.58823 \dots

Solution steps

\frac{5}{4} x - \frac{2}{3} \geq \frac{8}{3} x - \frac{3}{2}

Move

\frac{2}{3}

to the right side

\frac{5}{4} x \geq - \frac{5}{6} + \frac{8}{3} x

Move

\frac{8}{3} x

to the left side

- \frac{17}{12} x \geq - \frac{5}{6}

Multiply both sides by

- 1

\frac{17}{12} x \leq \frac{5}{6}

Multiply both sides by

12

17 x \leq 10

Divide both sides by

17

x \leq \frac{10}{17}

Popular Examples

factor 14x(x+2)^{-2/5}+5(x+2)^{3/5}factor

14 x (x + 2)^{- \frac{2}{5}} + 5 (x + 2)^{\frac{3}{5}}

x^{2} - 6 x = - 1

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

- 4 (3 - x) = \frac{4}{5} (x + 5)

join pi-pi/3 join

π - \frac{π}{3}

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

- 4 \cdot (2 x - 1) + 5 = 3 x - 6 \cdot (x - 2)

Frequently Asked Questions (FAQ)

What is 5/4 x-2/3 >= 8/3 x-3/2 ?
The solution to 5/4 x-2/3 >= 8/3 x-3/2 is x<= 10/17