INEQUALITIES (P.3)

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you solve the inequality: 4x + 1 ≥ 9?

Back

Subtract 1 from both sides: 4x ≥ 8. Then divide by 4: x ≥ 2.

Front

What does an open circle on a number line represent?

Back

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

Front

What does a closed circle on a number line represent?

Back

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

Front

Solve the inequality: 2y + 7 > 13.

Back

Subtract 7 from both sides: 2y > 6. Then divide by 2: y > 3.

Front

When graphing the inequality b < 6, what type of circle is used?

Back

An open circle is used when graphing b < 6.

Front

What is the solution set for the inequality x < 3?

Back

The solution set includes all numbers less than 3.

Front

What is the solution set for the inequality x ≥ -5?

Back

The solution set includes -5 and all numbers greater than -5.