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

The solution to x-1/(-3)+1/5 <= x/2-3 is x<=-106/15

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

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

x \leq - \frac{106}{15}

Interval Notation

(- \infty, - \frac{106}{15}]

Decimal Notation

x \leq - 7.06666 \dots

Solution steps

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

Simplify

x - \frac{1}{- 3} + \frac{1}{5} : x + \frac{8}{15}

x + \frac{8}{15} \leq \frac{x}{2} - 3

Move

\frac{8}{15}

to the right side

x \leq - \frac{53}{15} + \frac{x}{2}

Move

\frac{x}{2}

to the left side

\frac{x}{2} \leq - \frac{53}{15}

Multiply both sides by

2

x \leq - \frac{106}{15}

x, y > 6 - 2 x

x, y - x > 3

x + 7 > 3 + 10

t, x^{2} - (1 + t) x + t > 0

\frac{( x + 1 )}{4} \geq 8 - 2 x

What is x-1/(-3)+1/5 <= x/2-3 ?
The solution to x-1/(-3)+1/5 <= x/2-3 is x<=-106/15