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Popular >

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

Solution

\frac{6 - x}{4} < \frac{3 x - 4}{2}

Solution

x > 2

+1

Interval Notation

(2, \infty)

Solution steps

\frac{6 - x}{4} < \frac{3 x - 4}{2}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(6 - x) \cdot 2 : 12 - 2 x

Expand

4 (3 x - 4) : 12 x - 16

12 - 2 x < 12 x - 16

Move

12

to the right side

- 2 x < 12 x - 28

Move

12 x

to the left side

- 14 x < - 28

Multiply both sides by

- 1

14 x > 28

Divide both sides by

14

x > 2

Popular Examples

r^{2} + 6 r + 4 = 0

simplify 6/(2^2)simplify

\frac{6}{2 ^{2}}

simplify (4^{-2})/(4^{-3)}simplify

\frac{4 ^{- 2}}{4 ^{- 3}}

factor-x^2-15x-54 factor

- x^{2} - 15 x - 54

factor 64x^6-125y^6 factor

64 x^{6} - 125 y^{6}

Frequently Asked Questions (FAQ)

What is (6-x)/4 <(3x-4)/2 ?
The solution to (6-x)/4 <(3x-4)/2 is x>2