Question

What is the solution of x+4/2x-1<0

Answer 1

Answer:

$x \in \bigg(-4,\displaystyle\frac{1}{2}\bigg)$    

Step-by-step explanation:

We are given the following information in the question:

$\displaystyle\frac{x + 4}{2x-1} < 0$

Domain of given function:

$2x - 1 \neq 0\\x \neq \displaystyle\frac{1}{2}$

Th function is not defined on $\frac{1}{2}$

To solve the above inequality, we take the following steps:

$\displaystyle\frac{x + 4}{2x-1} < 0\\\\x + 4 > 0 \text{ and } 2x-1 < 0\\x > -4\\2x - 1$

In interval notation it can be written as:

$x \in \bigg(-4,\displaystyle\frac{1}{2}\bigg)$

Answer 2

Answer:

$\large\boxed{ -4$

Step-by-step explanation:

$Domain:\ 2x-1\neq0\to x\neq\dfrac{1}{2}$

$\dfrac{x+4}{2x-1}$

$(x+4)(2x-1)=(x)(2x)+....=2x^2+...\to 2>0\\\\\text{therefore the parabola is op}\text{en up}$

$\text{Look at the picture.}$

$\dfrac{x+4}{2x-1}$