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Popular >

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

Solution

\frac{2 x}{3} + 5 \leq \frac{5 x}{2} - 1

Solution

x \geq \frac{36}{11}

+2

Interval Notation

[\frac{36}{11}, \infty)

Decimal Notation

x \geq 3.27272 \dots

Solution steps

\frac{2 x}{3} + 5 \leq \frac{5 x}{2} - 1

Multiply by LCM

4 x + 30 \leq 15 x - 6

Move

30

to the right side

4 x \leq 15 x - 36

Move

15 x

to the left side

- 11 x \leq - 36

Multiply both sides by

- 1

11 x \geq 36

Divide both sides by

11

x \geq \frac{36}{11}

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\frac{1}{5 - 3}

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\frac{x ^{2} - y ^{2}}{x ^{3} - y ^{3}}

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join (2pi)/3-2pi join

\frac{2 π}{3} - 2 π

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\frac{x ^{8} x ^{- 4}}{y ^{5} y ^{6}}

Frequently Asked Questions (FAQ)

What is (2x)/3+5<= (5x)/2-1 ?
The solution to (2x)/3+5<= (5x)/2-1 is x>= 36/11