Inequality Test ACC 2024

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 'less than'. For example, x < 5 means x is any number less than 5.

Front

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

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is any number greater than 3.

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x can be any number less than or equal to 4.

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x can be any number greater than or equal to 2.

Front

How do you solve the inequality 3z - 2 < 13?

Back

Add 2 to both sides: 3z < 15. Then divide by 3: z < 5.

Front

What is the solution set for the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

When graphing an inequality, what does a closed dot represent?

Back

A closed dot represents that the number is included in the solution set, used for ≤ and ≥.

Front

When graphing an inequality, what does an open dot represent?

Back

An open dot represents that the number is not included in the solution set, used for < and >.

Front

How do you check the solution of an inequality?

Back

Substitute a number from the solution set back into the original inequality to see if it holds true.