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 'less than'. For example, x < 5 means x is any number less than 5.

Front

What does the symbol > mean?

Back

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

Front

What does the symbol ≤ mean?

Back

The symbol ≤ means 'less than or equal to'. For example, x ≤ 4 means x can be any number less than or equal to 4.

Front

What does the symbol ≥ mean?

Back

The symbol ≥ means 'greater than or equal to'. For example, x ≥ 2 means x can be any number greater than or equal to 2.

Front

How do you solve the inequality 2k - 9 < -19?

Back

Add 9 to both sides: 2k < -10. Then divide by 2: k < -5.

Front

How do you solve the inequality -n + 8 < 26?

Back

Subtract 8 from both sides: -n < 18. Then multiply by -1 (reversing the inequality): n > -18.

Front

When graphing an inequality, what does a closed dot indicate?

Back

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

Front

When graphing an inequality, what does an open dot indicate?

Back

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

Front

How would you express 'There are fewer than 150 children at the playground' as an inequality?

Back

c < 150.