Inequalities Review

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 or equal to'.

Front

What does the symbol '≥' mean?

Back

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

Front

How do you solve the inequality -3x ≤ 18?

Back

Divide both sides by -3, remembering to flip the inequality sign: x ≥ -6.

Front

What is the solution to the inequality 2x > 12?

Back

Divide both sides by 2: x > 6.

Front

What does an open dot represent on a number line?

Back

An open dot represents that the number is not included in the solution (used for < or >).

Front

What does a closed dot represent on a number line?

Back

A closed dot represents that the number is included in the solution (used for ≤ or ≥).

Front

How do you graph the inequality x + 5 < 6?

Back

Subtract 5 from both sides: x < 1. Graph with an open dot at 1.

Front

What is the solution to the inequality x ≥ -5?

Back

The solution includes all numbers greater than or equal to -5.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than (not including the number), while '≥' means greater than or equal to (including the number).