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

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

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

\frac{2 x}{5 + 1} < \frac{( x - 1 )}{3 + 3}

x < - 1

Interval Notation

(- \infty, - 1)

Solution steps

\frac{2 x}{5 + 1} < \frac{( x - 1 )}{3 + 3}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

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

Simplify

12 x < 6 (x - 1)

Expand

6 (x - 1) : 6 x - 6

12 x < 6 x - 6

Move

6 x

to the left side

6 x < - 6

Divide both sides by

6

x < - 1

- 2 x + 3 \leq - 4 x - 5

- p > - 0

3 x + 5 < 7

4 k - (3 + 3 k) > 2

b > 48 + 18 - 6 \frac{1}{2} - 200

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