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: 2(x - 4) > 10?

Back

x > 9.

Front

How do you solve the inequality: 3x + 5 > 10?

Back

x > 5/3.

Front

How do you solve the inequality: 2x - 7 < 15?

Back

x < 11.

Front

How do you solve the inequality: 4 - 3x ≥ 10?

Back

x ≤ -2.

Front

How do you solve the inequality: 4(x - 3) ≥ 20?

Back

x ≥ 8.