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Popular >

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

Solution

\frac{5 x}{3} \geq \frac{3 ( 3 - x )}{4}

Solution

x \geq \frac{27}{29}

+2

Interval Notation

[\frac{27}{29}, \infty)

Decimal Notation

x \geq 0.93103 \dots

Solution steps

\frac{5 x}{3} \geq \frac{3 ( 3 - x )}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

5 x \cdot 4 \geq 3 \cdot 3 (3 - x)

Simplify

20 x \geq 9 (3 - x)

Expand

9 (3 - x) : 27 - 9 x

20 x \geq 27 - 9 x

Move

9 x

to the left side

29 x \geq 27

Divide both sides by

29

x \geq \frac{27}{29}

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Frequently Asked Questions (FAQ)

What is (5x)/3 >= (3(3-x))/4 ?
The solution to (5x)/3 >= (3(3-x))/4 is x>= 27/29