Solving and Graphing 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'. It indicates that the value on the left is smaller than the value on the right.

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. It indicates that the value on the left is larger than the value on the right.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Front

How do you solve the inequality 4x + 3 < -1?

Back

Subtract 3 from both sides: 4x < -4. Then divide by 4: x < -1.

Front

How do you solve the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 13 ≥ x, which can be rewritten as x ≤ 13.

Front

How do you solve the inequality 9x + 3 < 21?

Back

Subtract 3 from both sides: 9x < 18. Then divide by 9: x < 2.

Front

What does 'at least' mean in an inequality context?

Back

'At least' means the value must be greater than or equal to a certain number, represented as x ≥ value.

Front

What does 'no more than' mean in an inequality context?

Back

'No more than' means the value must be less than or equal to a certain number, represented as x ≤ value.