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Popular >

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

Solution

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

Solution

x \geq \frac{11}{29}

+2

Interval Notation

[\frac{11}{29}, \infty)

Decimal Notation

x \geq 0.37931 \dots

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 - 2 x) \cdot 2 \leq 5 (5 x - 1)

Expand

(3 - 2 x) \cdot 2 : 6 - 4 x

Expand

5 (5 x - 1) : 25 x - 5

6 - 4 x \leq 25 x - 5

Move

6

to the right side

- 4 x \leq 25 x - 11

Move

25 x

to the left side

- 29 x \leq - 11

Multiply both sides by

- 1

29 x \geq 11

Divide both sides by

29

x \geq \frac{11}{29}

Popular Examples

simplify 2^{-3}x^2z^{-7}simplify

2^{- 3} x^{2} z^{- 7}

factor 9x^3+21x^2 factor

9 x^{3} + 21 x^{2}

3 (- 3)^{3} + 5

simplify 3/25*10 simplify

\frac{3}{25} \cdot 10

2 w > 6

Frequently Asked Questions (FAQ)

What is (3-2x)/5 <= (5x-1)/2 ?
The solution to (3-2x)/5 <= (5x-1)/2 is x>= 11/29