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

The solution to (x-1)/(-3)+1/5 = 106/25

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

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

x \geq \frac{106}{25}

Interval Notation

[\frac{106}{25}, \infty)

Decimal Notation

x \geq 4.24

Solution steps

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

Multiply by LCM

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

Expand

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

- 10 x + 16 \leq 15 x - 90

Move

16

to the right side

- 10 x \leq 15 x - 106

Move

15 x

to the left side

- 25 x \leq - 106

Multiply both sides by

- 1

25 x \geq 106

Divide both sides by

25

x \geq \frac{106}{25}

\frac{( 2 x ^{2} y ^{0} ) ^{4}}{x ^{6}}

\frac{2 x + 5}{x ^{2} + 2 x - 35} \geq 0

\frac{\frac{8 x}{x ^{2} - 1}}{\frac{10 x}{x + 1}}

- 16 t^{2} + 36 t

\frac{3 π}{4}

What is (x-1)/(-3)+1/5 <= x/2-3 ?
The solution to (x-1)/(-3)+1/5 <= x/2-3 is x>= 106/25