Inequalities Review

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like >, <, ≥, 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 12 > x - 5/4?

Back

Add 5/4 to both sides: 12 + 5/4 > x, which simplifies to 13 1/4 > x.

Front

What inequality represents the statement 'You must be a minimum of 18 years old to vote'?

Back

The inequality is x ≥ 18.

Front

What inequality does the number line showing an open circle at 9 represent?

Back

The inequality is x < 9.

Front

How do you express 'Today's temperature is below 45 degrees' in inequality form?

Back

The inequality is x < 45.

Front

How do you solve the inequality -2x - 3 ≤ 13?

Back

Add 3 to both sides: -2x ≤ 16. Then divide by -2 (remember to flip the inequality): x ≥ -8.