Solving and Graphing One-Step 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 '≥' mean?

Back

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

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean?

Back

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

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 3x < 12?

Back

Divide both sides by 3: x < 4.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 5 - x ≥ 2?

Back

Subtract 5 from both sides: -x ≥ -3. Multiply by -1 (reverse the inequality): x ≤ 3.

Tags

CCSS.6.EE.B.8

Front

What does a closed circle on a number line represent?

Back

A closed circle represents that the number is included in the solution (e.g., x ≥ 3).

Tags

CCSS.6.EE.B.8

Front

What does an open circle on a number line represent?

Back

An open circle represents that the number is not included in the solution (e.g., x > 3).

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x + 2 < 5?

Back

First, solve for x: x < 3. Then, graph an open circle at 3 and shade to the left.

Tags

CCSS.6.EE.B.8