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Popular >

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

Solution

\frac{1 - x}{4} < \frac{2 x - 2}{3}

Solution

x > 1

+1

Interval Notation

(1, \infty)

Solution steps

\frac{1 - x}{4} < \frac{2 x - 2}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

(1 - x) \cdot 3 : 3 - 3 x

Expand

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

3 - 3 x < 8 x - 8

Move

3

to the right side

- 3 x < 8 x - 11

Move

8 x

to the left side

- 11 x < - 11

Multiply both sides by

- 1

11 x > 11

Divide both sides by

11

x > 1

Popular Examples

[- 6 - 2 z] > 9

(x + 3)^{2} = - 25

simplify (6^4)^{-5}simplify

(6^{4})^{- 5}

x^2-x-6>x^2+x-6

x^{2} - x - 6 > x^{2} + x - 6

simplify (3-4i)^2 simplify

(3 - 4 i)^{2}

Frequently Asked Questions (FAQ)

What is (1-x)/4 <(2x-2)/3 ?
The solution to (1-x)/4 <(2x-2)/3 is x>1