Review: Writing, Graphing, & Solving One-Step Inequalities

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Front

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

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve the inequality -4p < 36?

Back

Divide both sides by -4 and reverse the inequality sign: p > -9.

Front

How do you solve the inequality x - 4 ≤ 6?

Back

Add 4 to both sides: x ≤ 10.

Front

What does an open dot represent when graphing inequalities?

Back

An open dot represents that the endpoint is not included in the solution, used for '<' or '>'.

Front

What does a closed dot represent when graphing inequalities?

Back

A closed dot represents that the endpoint is included in the solution, used for '≤' or '≥'.

Front

What is the solution set for the inequality x ≥ -5?

Back

The solution set includes all numbers greater than or equal to -5.