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Popular >

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

Solution

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

Solution

x > 5

+1

Interval Notation

(5, \infty)

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(x + 3) \cdot 3 : 3 x + 9

Expand

4 (2 x - 4) : 8 x - 16

3 x + 9 < 8 x - 16

Move

9

to the right side

3 x < 8 x - 25

Move

8 x

to the left side

- 5 x < - 25

Multiply both sides by

- 1

5 x > 25

Divide both sides by

5

x > 5

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\frac{1}{2 1}

Frequently Asked Questions (FAQ)

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