Solve and graph 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 in an inequality?

Back

The symbol '>' means 'greater than'.

Front

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

Back

The symbol '<' means 'less than'.

Front

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

Back

The symbol '≥' means 'greater than or equal to'.

Front

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

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality r - 14 ≥ 17?

Back

Add 14 to both sides: r ≥ 31.

Front

How do you solve the inequality 24 ≤ h + 15?

Back

Subtract 15 from both sides: h ≥ 9.

Front

What does the graph of x ≥ 3 look like?

Back

A number line with a closed dot at 3 and shading to the right.

Front

What does the graph of x < -4 look like?

Back

A number line with an open dot at -4 and shading to the left.

Front

How do you represent the solution of an inequality on a number line?

Back

Use open or closed dots to indicate whether endpoints are included, and shade the appropriate direction.