What do the dots mean in inequalities?

If the inequality is “strict” ( < or > ), we use an open dot to indicate that the endpoint of the ray is not part of the solution. For the other types of inequalities ( ≤ and ≥ ), we use a closed dot to indicate that the endpoint is part of the solution.

What is the symbol for and in a compound inequality?

The other way of saying it is that the solution set of the “and” compound inequality is the intersection, represented by the symbol ∩, of the two inequalities.

Which inequality is dotted?

Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Inequalities that use ≤ or ≥ symbols are plotted with a solid line to show that the line is included in the region.

Is an open dot or closed?

Functions and Graphs Interval notation uses a parenthesis for an open endpoint and a square bracket for a closed endpoint. On a graph, a solid dot is used for a closed endpoint and a hollow dot is used for an open endpoint.

What does a open dot mean?

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7 because it’s not a valid answer (7 is not greater than itself).

What does and and/or mean in inequalities?

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements.

What are the 4 inequality signs?

These inequality symbols are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠).

What are the symbols for inequality?

Inequality symbols

  • Equals sign: = The equals sign, symbolized as “=” indicates equality.
  • Not equal to sign: ≠
  • Greater than sign: >
  • Greater than or equal to sign: ≥
  • Less than sign: <
  • Less than or equal to sign: ≤