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 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 -8x < 48?

Back

Divide both sides by -8 and reverse the inequality sign: x > -6.

Front

What is the solution to the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

How do you graph the inequality x ≥ 3 on a number line?

Back

Draw a closed circle on 3 and shade to the right to indicate all numbers greater than or equal to 3.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: x ≤ 13.

Front

What does the inequality -2x + 3 > -7 represent?

Back

To solve, subtract 3 from both sides and divide by -2, reversing the inequality: x < 5.