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Popular >

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

Solution

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

Solution

x < - 5

+1

Interval Notation

(- \infty, - 5)

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

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

Expand

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

Expand

2 (x - 1) : 2 x - 2

3 + 3 x < 2 x - 2

Move

3

to the right side

3 x < 2 x - 5

Move

2 x

to the left side

x < - 5

Popular Examples

2 x + 4 > 0

8 x - 7 = 15 + 19 x

2 x + 8 = 2 (x + 4)

simplify 11^2 simplify

1 1^{2}

factor 6x^2+5x-6 factor

6 x^{2} + 5 x - 6

Frequently Asked Questions (FAQ)

What is (1+x)/2 <(x-1)/3 ?
The solution to (1+x)/2 <(x-1)/3 is x<-5