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Popular >

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

Solution

\frac{( 4 x + 3 )}{( 2 x + 1 )} < 2

Solution

x < - \frac{1}{2}

+2

Interval Notation

(- \infty, - \frac{1}{2})

Decimal

x < - 0.5

Solution steps

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

Rewrite in standard form

\frac{1}{2 x + 1} < 0

If

\frac{1}{a} < 0

then

a < 0

2 x + 1 < 0

Move

1

to the right side

2 x < - 1

Divide both sides by

2

x < - \frac{1}{2}

Graph

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(x^{2} + 3 x + 1) (x^{2} + 3 x - 3) \geq 5

(2x^2+3x-5)(3-5x)>= 0

(2 x^{2} + 3 x - 5) (3 - 5 x) \geq 0

x^{6} - 9 x^{3} + 8 \leq 0

((-x^2-1))/((9-2x))<= 0

\frac{( - x ^{2} - 1 )}{( 9 - 2 x )} \leq 0

((1+3x^2))/((2x^2-21x+40))<0

\frac{( 1 + 3 x ^{2} )}{( 2 x ^{2} - 21 x + 40 )} < 0

Frequently Asked Questions (FAQ)

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