Respuesta :

sanaapriya

Answer:

y<6

Step-by-step explanation:

You will solve it like a one-step equation but just leave the less then symbol. so anything less then 6 is your answer

The solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted 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 graph of the inequality-

  • Open circle- When the value of variable is equal the given number, then the graph of the inequality has a open circle.
  • Closed circle-When the value of variable is not equal the given number, then the graph of the inequality has a closed circle.
  • The ray will move to the right- When the, value of variable is greater then the number, then the ray will move to the right.
  • The ray will move to the left- When the value of variable is less then the number, then the the ray will move to the left.

The equation which need to be solve is,

[tex]y - 4 < 2[/tex]

Add 4 both side of the equation to solve it further,

[tex]y < 2+4\\y < 6[/tex]

This is the simplified form of the equation. This equation suggest that the value of y is less than the number 6.

Thus, the arrow should be point left side and the open circle is put on number 6 to make the number line for given equation as shown in figure attached below.

Thus, the solution of provided inequality equation y - 4 < 2 is y<6 and the number line for this is plotted below.

Learn more about the number line here;

https://brainly.com/question/24644930

Ver imagen bhoopendrasisodiya34

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