What is 1/3 (w+1)-1/5 (w+2)>= 1/2 w-1 ?

The solution to 1/3 (w+1)-1/5 (w+2)>= 1/2 w-1 is w<= 28/11

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1/3 (w+1)-1/5 (w+2)>= 1/2 w-1

\frac{1}{3} (w + 1) - \frac{1}{5} (w + 2) \geq \frac{1}{2} w - 1

w \leq \frac{28}{11}

Interval Notation

(- \infty, \frac{28}{11}]

Decimal Notation

w \leq 2.54545 \dots

Solution steps

\frac{1}{3} (w + 1) - \frac{1}{5} (w + 2) \geq \frac{1}{2} w - 1

Expand

\frac{1}{3} (w + 1) - \frac{1}{5} (w + 2) : \frac{2 w}{15} - \frac{1}{15}

\frac{2 w}{15} - \frac{1}{15} \geq \frac{1}{2} w - 1

Move

\frac{1}{15}

to the right side

\frac{2 w}{15} \geq - \frac{14}{15} + \frac{1}{2} w

Move

\frac{1}{2} w

to the left side

- \frac{11 w}{30} \geq - \frac{14}{15}

Multiply both sides by

30

- 11 w \geq - 28

Multiply both sides by

- 1

11 w \leq 28

Divide both sides by

11

w \leq \frac{28}{11}

lo g_{2} (2^{k})

- \frac{π}{3} + \frac{π}{2}

3 x^{2} + 2 = 11 - x^{2}

\frac{1}{2} > - 2 + \frac{7}{2}

\frac{9 m - 1}{8 m + 2} - \frac{5}{7 m ^{2}}

What is 1/3 (w+1)-1/5 (w+2)>= 1/2 w-1 ?
The solution to 1/3 (w+1)-1/5 (w+2)>= 1/2 w-1 is w<= 28/11