Solving 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 or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

When solving the inequality 3x ≥ 12, what is the first step?

Back

Divide both sides by 3 to isolate x.

Front

What is the solution to the inequality 3x ≥ 12?

Back

x ≥ 4.

Front

When graphing the inequality c < 9, what type of circle is used?

Back

An open circle is used.

Front

When graphing the inequality c ≥ 9, what type of circle is used?

Back

A closed circle is used.

Front

What does it mean to 'flip the sign' in an inequality?

Back

You flip the sign when you multiply or divide both sides of the inequality by a negative number.

Front

If you have the inequality -2x < 8, what is the solution after dividing by -2?

Back

x > -4 (remember to flip the sign).

Front

What is the graph of the inequality k ≤ -11?

Back

A closed circle at -11 with a line extending to the left.