Solving and Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 5 means x is greater than 5.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 3 means x is less than 3.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 4 means x is greater than or equal to 4.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality -x ≤ -4?

Back

To solve -x ≤ -4, multiply both sides by -1 (remember to flip the inequality sign): x ≥ 4.

Front

How do you solve the inequality -2x ≤ 4?

Back

To solve -2x ≤ 4, divide both sides by -2 (remember to flip the inequality sign): x ≥ -2.

Front

What inequality represents the statement 'All items at Pat's Pasta cost more than $10'?

Back

The inequality is i > 10.

Front

What inequality represents the statement 'My sister plans to sell more than 250 boxes of cookies'?

Back

The inequality is c > 250.

Front

How do you graph the inequality x < -2?

Back

To graph x < -2, draw a number line, place an open circle on -2, and shade to the left.