Solving and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality 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

What is the solution to the inequality -4x + 14 ≤ 54?

Back

x ≥ -10.

Front

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

Back

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

Front

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

Back

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

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You must flip the inequality symbol.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

x ≤ 13.

Front

How do you solve the inequality x + 5 < 12?

Back

Subtract 5 from both sides: x < 7.

Front

What is the solution to the inequality 3x + 2 > 11?

Back

x > 3.