Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 3 means x can be any number less than or equal to 3.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 3 means x can be any number greater than or equal to 3.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality k < 3?

Back

You draw a number line, place an open dot at 3, and shade to the left to indicate all numbers less than 3.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x ≥ 3?

Back

You draw a number line, place a closed dot at 3, and shade to the right to indicate all numbers greater than or equal to 3.

Tags

CCSS.6.EE.B.8

Front

What is the difference between an open dot and a closed dot on a graph?

Back

An open dot indicates that the number is not included (for < or >), while a closed dot indicates that the number is included (for ≤ or ≥).

Front

What does the graph of b ≤ -2 look like?

Back

The graph has a closed dot at -2 and shades to the left, indicating all numbers less than or equal to -2.

Tags

CCSS.6.EE.B.8

Front

What does the graph of b > -2 look like?

Back

The graph has an open dot at -2 and shades to the right, indicating all numbers greater than -2.

Tags

CCSS.6.EE.B.8