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

The solution to -(x-1)/3+1/5 = 91/40

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

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

x \geq \frac{91}{40}

Interval Notation

[\frac{91}{40}, \infty)

Decimal Notation

x \geq 2.275

Solution steps

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

Multiply by LCM

- 10 (x - 1) + 6 \leq 15 (2 x + 1) - 90

Expand

- 10 (x - 1) + 6 : - 10 x + 16

Expand

15 (2 x + 1) - 90 : 30 x - 75

- 10 x + 16 \leq 30 x - 75

Move

16

to the right side

- 10 x \leq 30 x - 91

Move

30 x

to the left side

- 40 x \leq - 91

Multiply both sides by

- 1

40 x \geq 91

Divide both sides by

40

x \geq \frac{91}{40}

x^{2} y^{2} - 144

6 4^{- \frac{1}{6}}

\frac{1}{8 i}

c^{2} + 3 c + 2 c + 6

\frac{1}{2 x - 1} > \frac{1}{x + 2}

What is -(x-1)/3+1/5 <= (2x+1)/2-3 ?
The solution to -(x-1)/3+1/5 <= (2x+1)/2-3 is x>= 91/40