One-Step Inequalities

Front

What is an inequality?

Back

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

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is any number greater than 5.

Front

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

Back

The symbol '<' means 'less than'. For example, x < 3 means x is any number less than 3.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is any number greater than or equal to 4.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is any number less than or equal to 2.

Front

How do you solve the inequality -11x > 99?

Back

Divide both sides by -11 and reverse the inequality sign: x < -9.

Front

What is the solution to the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: h ≥ 9.

Front

How do you graph the inequality x + 5 > 7?

Back

First, solve for x: x > 2. Then, graph with an open dot at 2 and shade to the right.

Front

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

Back

An open dot indicates that the number is not included in the solution (e.g., < or >), while a closed dot indicates that the number is included (e.g., ≤ or ≥).

Front

What is the first step in solving a one-step inequality?

Back

Identify the operation being performed on the variable and perform the inverse operation to isolate the variable.