Graphing Inequalities

Front

What is an inequality?

Back

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

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 greater than 3.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

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 ≥ 2 means x is greater than or equal to 2.

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 ≤ -1 means x is less than or equal to -1.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x > 3 on a number line?

Back

Draw a number line, place an open dot at 3, and shade to the right to indicate all numbers greater than 3.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x ≤ -4 on a number line?

Back

Draw a number line, place a closed dot at -4, and shade to the left to indicate all numbers less than or equal to -4.

Tags

CCSS.6.EE.B.8

Front

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

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 ≤).

Tags

CCSS.6.EE.B.8

Front

What does the inequality r ≥ -6 represent on a number line?

Back

It represents all numbers r that are greater than or equal to -6, with a closed dot at -6 and shading to the right.

Tags

CCSS.6.EE.B.8

Front

If a number line graph shows an open dot at 3 and shading to the right, what inequality does it represent?

Back

It represents the inequality x > 3.

Tags

CCSS.6.EE.B.8