Inequality Test

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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you solve the inequality 10 < 3x + 19?

Back

Subtract 19 from both sides: 10 - 19 < 3x, which simplifies to -9 < 3x. Then divide by 3: -3 < x or x > -3.

Front

How do you solve the inequality 26 < f + 32?

Back

Subtract 32 from both sides: 26 - 32 < f, which simplifies to -6 < f or f > -6.

Front

What does a closed dot on a number line indicate?

Back

A closed dot indicates that the number is included in the solution set, used for ≤ or ≥ inequalities.

Front

What does an open dot on a number line indicate?

Back

An open dot indicates that the number is not included in the solution set, used for < or > inequalities.

Front

What is the solution set for the inequality x < 4?

Back

The solution set includes all numbers less than 4, represented on a number line with an open dot at 4.