What is ((x-3))/4+((1-2x))/5 <= ((x+1))/3 ?

The solution to ((x-3))/4+((1-2x))/5 =-53/29

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((x-3))/4+((1-2x))/5 <= ((x+1))/3

\frac{( x - 3 )}{4} + \frac{( 1 - 2 x )}{5} \leq \frac{( x + 1 )}{3}

x \geq - \frac{53}{29}

Interval Notation

[- \frac{53}{29}, \infty)

Decimal Notation

x \geq - 1.82758 \dots

Solution steps

\frac{( x - 3 )}{4} + \frac{( 1 - 2 x )}{5} \leq \frac{( x + 1 )}{3}

\frac{x - 3}{4} + \frac{1 - 2 x}{5} \leq \frac{( x + 1 )}{3}

Multiply by LCM

15 (x - 3) + 12 (- 2 x + 1) \leq 20 (x + 1)

Expand

15 (x - 3) + 12 (- 2 x + 1) : - 9 x - 33

Expand

20 (x + 1) : 20 x + 20

- 9 x - 33 \leq 20 x + 20

Move

33

to the right side

- 9 x \leq 20 x + 53

Move

20 x

to the left side

- 29 x \leq 53

Multiply both sides by

- 1

29 x \geq - 53

Divide both sides by

29

x \geq - \frac{53}{29}

\frac{3 x ^{5} y ^{5}}{x ^{3} y}

- 2 (v + 1) + 5 v = 3 (v + 1) - 2

- x^{3} + 6 x^{2} + 9 x > 54

2 x^{2} + x - 8

(x - 2)^{2} (24 - 4 x) > 0

What is ((x-3))/4+((1-2x))/5 <= ((x+1))/3 ?
The solution to ((x-3))/4+((1-2x))/5 <= ((x+1))/3 is x>=-53/29