The solution of the inequality equation 6x-4<8, for x is x<2 and the number line for this solution is represented below.
What is the number line?
The number line is the way of representation of number and digits in a arranged form to understand the data batter.
Characteristics of the number line inequality-
- Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
- Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
- The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.
- The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.
The given inequality equation is,
[tex]6x-4 < 8[/tex]
Add 4 both side of the equation,
[tex]6x-4+4 < 8+4\\6x < 12[/tex]
Divide both side with number 6,
[tex]x < \dfrac{12}{6}\\x < 2[/tex]
The number line which represent the inequality x<2 is shown below in the attached image in which the open circle represent the inequality.
Hence, the solution of the inequality equation 6x-4<8, for x is x<2 and the number line for this solution is represented below.
Learn more about the number line here;
https://brainly.com/question/24644930
