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Popular >

(2b-1)/2-1+(5b)/4 <0

Solution

\frac{2 b - 1}{2} - 1 + \frac{5 b}{4} < 0

Solution

b < \frac{2}{3}

+2

Interval Notation

(- \infty, \frac{2}{3})

Decimal Notation

b < 0.66666 \dots

Solution steps

\frac{2 b - 1}{2} - 1 + \frac{5 b}{4} < 0

Multiply by LCM

2 (2 b - 1) - 4 + 5 b < 0

Expand

2 (2 b - 1) - 4 + 5 b : 9 b - 6

9 b - 6 < 0

Move

6

to the right side

9 b < 6

Divide both sides by

9

b < \frac{2}{3}

Popular Examples

simplify 2/(2+sqrt(3))simplify

\frac{2}{2 + 3}

3 x - 15 \geq 5

2m^2-7m=-7m+49+m^2

2 m^{2} - 7 m = - 7 m + 49 + m^{2}

2x-5<-11\lor 5x+1>= 6

2 x - 5 < - 11 or 5 x + 1 \geq 6

5 x^{2} = 14 x + 3

Frequently Asked Questions (FAQ)

What is (2b-1)/2-1+(5b)/4 <0 ?
The solution to (2b-1)/2-1+(5b)/4 <0 is b< 2/3