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 in inequalities?

Back

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

Front

What does the symbol '<' mean in inequalities?

Back

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

Front

What does the symbol '≥' mean in inequalities?

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 inequalities?

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: 2x + 3 < 7?

Back

Subtract 3 from both sides: 2x < 4. Then divide by 2: x < 2.

Front

What is the solution to the inequality: -3x ≥ 9?

Back

Divide by -3 (remember to flip the inequality): x ≤ -3.

Front

How do you graph the inequality x > 5?

Back

Draw a number line, place an open circle at 5, and shade to the right.

Front

How do you graph the inequality x ≤ -2?

Back

Draw a number line, place a closed circle at -2, and shade to the left.

Front

What does the solution set of an inequality represent?

Back

The solution set represents all the values that satisfy the inequality.