Inequalities & Interval Notation

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 represent the solution to the inequality x ≤ -10 on a number line?

Back

You draw a closed circle on -10 and shade to the left.

Front

What is the solution to the inequality x + 7 < 9?

Back

x < 2.

Front

When graphing the inequality x ≥ 5, what type of circle is used?

Back

Closed Circle.

Front

What is the solution to the inequality x ≤ 13?

Back

x is any number less than or equal to 13.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

First, subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality): x ≥ -10.

Front

What does an open circle represent when graphing inequalities?

Back

An open circle represents that the number is not included in the solution (e.g., x < 3).

Front

What is interval notation for x < 5?

Back

(-∞, 5).