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Popular >

(3x-4+x)/4 <(5x)/(2+2)

Solution

\frac{3 x - 4 + x}{4} < \frac{5 x}{2 + 2}

Solution

x > - 4

+1

Interval Notation

(- 4, \infty)

Solution steps

\frac{3 x - 4 + x}{4} < \frac{5 x}{2 + 2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(3 x - 4 + x) (2 + 2) < 4 \cdot 5 x

Simplify

4 (4 x - 4) < 20 x

Expand

4 (4 x - 4) : 16 x - 16

16 x - 16 < 20 x

Move

16

to the right side

16 x < 20 x + 16

Move

20 x

to the left side

- 4 x < 16

Multiply both sides by

- 1

4 x > - 16

Divide both sides by

4

x > - 4

Popular Examples

3 x < x + 14

solvefor x,x+y<4 solve for

x, x + y < 4

\frac{x + 1}{2} < - 4

x/2+((x+1))/7-x+2<0

\frac{x}{2} + \frac{( x + 1 )}{7} - x + 2 < 0

5 x + 10 < 45

Frequently Asked Questions (FAQ)

What is (3x-4+x)/4 <(5x)/(2+2) ?
The solution to (3x-4+x)/4 <(5x)/(2+2) is x>-4