What is -1/4 (x+1/2)>3-1/16 x ?

The solution to -1/4 (x+1/2)>3-1/16 x is x<-50/3

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-1/4 (x+1/2)>3-1/16 x

- \frac{1}{4} (x + \frac{1}{2}) > 3 - \frac{1}{16} x

x < - \frac{50}{3}

Interval Notation

(- \infty, - \frac{50}{3})

Decimal Notation

x < - 16.66666 \dots

Solution steps

- \frac{1}{4} (x + \frac{1}{2}) > 3 - \frac{1}{16} x

Expand

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

- \frac{1}{4} x - \frac{1}{8} > 3 - \frac{1}{16} x

Move

\frac{1}{8}

to the right side

- \frac{1}{4} x > \frac{25}{8} - \frac{1}{16} x

Move

\frac{1}{16} x

to the left side

- \frac{3}{16} x > \frac{25}{8}

Multiply both sides by

- 1

\frac{3}{16} x < - \frac{25}{8}

Multiply both sides by

16

3 x < - 50

Divide both sides by

3

x < - \frac{50}{3}

- 12 - 6

3 \times \frac{1}{5}

x^{2} + 19 x y - 92 y^{2}

x (7 x - 2) = 9

y^{2} + 8 (y - 1) = 3

What is -1/4 (x+1/2)>3-1/16 x ?
The solution to -1/4 (x+1/2)>3-1/16 x is x<-50/3