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 16 + x ≥ 14?

Back

Subtract 16 from both sides: x ≥ -2.

Front

What is the solution to the inequality x + 4 < 13?

Back

Subtract 4 from both sides: x < 9.

Front

When graphing x ≤ 9, which direction does the arrow point?

Back

The arrow points to the left.

Front

When graphing x ≥ 15, should the circle be open or closed?

Back

The circle should be closed.

Front

What does it mean if an inequality has an open circle on a number line?

Back

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

Front

What does it mean if an inequality has a closed circle on a number line?

Back

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

Front

Write the inequality for: The temperature is at least 30 degrees.

Back

x ≥ 30.