Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x < 5 on a number line?

Back

Draw a number line, place an open circle at 5, and shade to the left to indicate all numbers less than 5.

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 a closed circle 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 circle and a closed circle on a graph?

Back

An open circle indicates that the number is not included in the solution (e.g., x < 5), while a closed circle indicates that the number is included (e.g., x ≥ 3).

Tags

CCSS.6.EE.B.8

Front

How do you represent the inequality r ≥ -6 on a graph?

Back

Draw a number line, place a closed circle at -6, and shade to the right to indicate all numbers greater than or equal to -6.

Tags

CCSS.6.EE.B.8

Front

What does the inequality x ≥ 2.5 mean in terms of a number line?

Back

It means that all numbers greater than or equal to 2.5 are included, represented by a closed circle at 2.5 and shading to the right.

Tags

CCSS.6.EE.B.8