What is x/2+5>(2x)/5-2-x/(30) ?

The solution to x/2+5>(2x)/5-2-x/(30) is x>-105/2

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x/2+5>(2x)/5-2-x/(30)

\frac{x}{2} + 5 > \frac{2 x}{5} - 2 - \frac{x}{30}

x > - \frac{105}{2}

Interval Notation

(- \frac{105}{2}, \infty)

Decimal Notation

x > - 52.5

Solution steps

\frac{x}{2} + 5 > \frac{2 x}{5} - 2 - \frac{x}{30}

Subtract

\frac{2 x}{5} - \frac{x}{30}

from both sides

\frac{x}{2} + 5 - (\frac{2 x}{5} - \frac{x}{30}) > \frac{2 x}{5} - 2 - \frac{x}{30} - (\frac{2 x}{5} - \frac{x}{30})

Simplify

\frac{2 x}{15} + 5 > - 2

Move

5

to the right side

\frac{2 x}{15} > - 7

Multiply both sides by

15

2 x > - 105

Divide both sides by

2

x > - \frac{105}{2}

x + 8 \geq 9 and \frac{x}{7} \leq 1

(x + 8 y) (2 x - 5 b) - 8 y (2 x - 5 b)

x^{2} + 12 = 10 x

m^{3} - 4 m

b^{2} - 4 b + 4

What is x/2+5>(2x)/5-2-x/(30) ?
The solution to x/2+5>(2x)/5-2-x/(30) is x>-105/2