Graphing Inequalities and Their Symbols

Front

What is a compound inequality?

Back

Front

What does an open dot represent on a graph?

Back

An open dot indicates that the endpoint is not included in the solution set, used for inequalities like < or >.

Front

What does a closed dot represent on a graph?

Back

A closed dot indicates that the endpoint is included in the solution set, used for inequalities like ≤ or ≥.

Front

Back

You place a closed dot at 2 and shade to the right to indicate all values greater than or equal to 2.

Front

What does the symbol < mean in an inequality?

Back

The symbol < means 'less than' and indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol > mean in an inequality?

Back

The symbol > means 'greater than' and indicates that the value on the left is larger than the value on the right.

Front

Back

The solution set includes all numbers less than 4, represented by a graph with an open dot at 4 and shading to the left.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true (overlapping region), while 'or' means at least one condition must be true (combined regions).

Front

Back

You graph an open dot at 1 and shade to the left, then a closed dot at 3 and shade to the right.

Front

What is the graphical representation of an AND inequality?

Back

An AND inequality is represented by the overlapping region of the two inequalities, indicating values that satisfy both conditions.