The solution to an inequality is graphed on the number line. A number line going from negative 5 to positive 5. A solid circle appears between positive 4 and positive 5. The number line is shaded from the circle to negative 5. What is another way to represent this solution set? {x | x < 4. 5} {x | x ≤ 4. 5} {x | x > 4. 5} {x | x ≥ 4. 5}.

Respuesta :

The solution set for the number line of inequality can be represented as,

{x | x ≤ 4. 5}

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.

The meaning of circle in number line,

  • 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 or solid circle-When the value of variable is not equal to the given number, then the graph of the inequality has a closed circle.

The number line going from negative 5 to positive 5 and a solid circle appears between positive 4 and positive 5. The middle point of 4 and 5 is 4.5.

The solid or closed circle means that the value has less than or equal to 4.5. Thus, the solution set for the number line of inequality can be represented as,

{x | x ≤ 4. 5}

Learn more about the number line here;

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