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

'>' means 'greater than'.

Front

What does the symbol '<' mean?

Back

'<'' means 'less than'.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

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

Back

Subtract 19 from both sides: 10 - 19 < 3x; -9 < 3x; Divide by 3: -3 < x or x > -3.

Front

What does 'more than' indicate in inequalities?

Back

'More than' indicates the use of the '>' symbol.

Front

What does 'at least' indicate in inequalities?

Back

'At least' indicates the use of the '≥' symbol.

Front

How do you solve the inequality 5x - 7 ≥ 8?

Back

Add 7 to both sides: 5x ≥ 15; Divide by 5: x ≥ 3.

Front

What inequality does the number line graph represent if it shows all values less than -4?

Back

The inequality is x < -4.