Understanding Inequalities

Front

What is an inequality?

Back

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

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 4 means x is less than 4.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' mean?

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?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 5 means x is less than or equal to 5.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

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

How do you graph the inequality x < 2?

Back

To graph x < 2, draw a number line, place an open circle on 2, and shade to the left.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle on 3, and shade to the right.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality x ≤ 4?

Back

The solution set for x ≤ 4 includes all numbers less than or equal to 4.

Tags

CCSS.6.EE.B.8

Front

What is the solution set for the inequality t > 6?

Back

The solution set for t > 6 includes all numbers greater than 6.

Tags

CCSS.6.EE.B.8

Front

What does it mean if an inequality is graphed with a closed circle?

Back

A closed circle indicates that the number is included in the solution set (≤ or ≥).

Tags

CCSS.6.EE.B.8