Inequalities Flashcard

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the inequality sign '<' represent?

Back

The '<' sign represents 'less than'.

Front

What does the inequality sign '>' represent?

Back

The '>' sign represents 'greater than'.

Front

What does the inequality sign '≤' represent?

Back

The '≤' sign represents 'less than or equal to'.

Front

What does the inequality sign '≥' represent?

Back

The '≥' sign represents 'greater than or equal to'.

Front

When do you flip the inequality sign?

Back

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

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that make the inequality true.

Front

How do you graph an inequality on a number line?

Back

To graph an inequality on a number line, use an open circle for '<' or '>', and a closed circle for '≤' or '≥'. Shade the region that represents the solution set.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities ('<' and '>') do not include the boundary point, while non-strict inequalities ('≤' and '≥') do include the boundary point.

Front

How do you solve a linear inequality?

Back

To solve a linear inequality, isolate the variable on one side of the inequality, similar to solving an equation, and remember to flip the inequality sign if multiplying or dividing by a negative.