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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

(- \infty, 5)

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

Popular Examples

6 + 9 z + z^{2} = 0

0 = 3 x + 4

factor (3x^2-15x+18)/(3x-9)factor

\frac{3 x ^{2} - 15 x + 18}{3 x - 9}

factor 4x^2+9x^4 factor

4 x^{2} + 9 x^{4}

x^{2} - 2 x > 0

Frequently Asked Questions (FAQ)

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