One Step 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 'greater than'. For example, 5 > 3 means 5 is greater than 3.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, 2 < 4 means 2 is less than 4.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, y ≤ 10 means y is less than or equal to 10.

Front

How do you solve the inequality 15 > -5 + z?

Back

To solve, add 5 to both sides: 20 > z or z < 20.

Front

What is the solution to the inequality x + 9 > 21 when x = 15?

Back

Substituting x = 15 gives 15 + 9 > 21, which is true.

Front

How do you solve the inequality -4 + y < -8?

Back

Add 4 to both sides: y < -4.

Front

What does a number line graph showing an open circle at 5 indicate?

Back

It indicates that x > 5, meaning x is greater than 5.

Front

What does a number line graph showing a closed circle at -5 indicate?

Back

It indicates that x ≥ -5, meaning x is greater than or equal to -5.