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Popular >

(-x+5)/2 <= (12+3x)/4

Solution

\frac{- x + 5}{2} \leq \frac{12 + 3 x}{4}

Solution

x \geq - \frac{2}{5}

+2

Interval Notation

[- \frac{2}{5}, \infty)

Decimal Notation

x \geq - 0.4

Solution steps

\frac{- x + 5}{2} \leq \frac{12 + 3 x}{4}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(- x + 5) \cdot 4 \leq 2 (12 + 3 x)

Expand

(- x + 5) \cdot 4 : - 4 x + 20

Expand

2 (12 + 3 x) : 24 + 6 x

- 4 x + 20 \leq 24 + 6 x

Move

20

to the right side

- 4 x \leq 6 x + 4

Move

6 x

to the left side

- 10 x \leq 4

Multiply both sides by

- 1

10 x \geq - 4

Divide both sides by

10

x \geq - \frac{2}{5}

Popular Examples

factor (3x-2)^3-27 factor

(3 x - 2)^{3} - 27

x^2=3(25/16)+5(49/36)

x^{2} = 3 (\frac{25}{16}) + 5 (\frac{49}{36})

\frac{x}{3} \leq - 3

simplify ((4z^5y^0)/(x^2))^{-3}simplify

(\frac{4 z ^{5} y ^{0}}{x ^{2}})^{- 3}

factor 81-x^2y^6 factor

81 - x^{2} y^{6}

Frequently Asked Questions (FAQ)

What is (-x+5)/2 <= (12+3x)/4 ?
The solution to (-x+5)/2 <= (12+3x)/4 is x>=-2/5