Solving and Graphing 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 -9x + 7 ≥ 25?

Back

Subtract 7 from both sides: -9x ≥ 18. Then divide by -9 (remember to flip the inequality): x ≤ -2.

Front

How do you solve the inequality -4x - 7 ≥ 21?

Back

Add 7 to both sides: -4x ≥ 28. Then divide by -4 (flip the inequality): x ≤ -7.

Front

What does an open circle mean when graphing an inequality?

Back

An open circle means that the number is not included in the solution set.

Front

What does a closed circle mean when graphing an inequality?

Back

A closed circle means that the number is included in the solution set.

Front

When graphing the inequality a > 11, what type of circle is used?

Back

An open circle is used.