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?

Back

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

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality 14x - 3 ≤ -3?

Back

Add 3 to both sides: 14x ≤ 0, then divide by 14: x ≤ 0.

Front

What is the solution to the inequality 3x < -9?

Back

Divide both sides by 3: x < -3.

Front

When graphing x > 45, what type of circle is used?

Back

An open circle is used because 45 is not included in the solution.

Front

What are two solutions to the inequality x < 8?

Back

0.8 and 5.9 are two solutions.

Front

What does it mean if a circle is closed on a number line?

Back

A closed circle indicates that the number is included in the solution (e.g., x ≤ 5).

Front

What does it mean if a circle is open on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x > 5).

Front

Match the inequality b ≤ -2 with its graph.

Back

The graph shows a line extending to the left from -2, including -2.