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

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

Front

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

Back

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

Front

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

Back

'≥' 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

'≤' 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: 3(x - 4) + 2 > 5x?

Back

x < -5.

Front

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

Back

x < 11.

Front

How do you solve the inequality: 2x + 3 ≤ 9?

Back

x ≤ 3/2.

Front

How do you solve the inequality: 3(x - 2) + 4 ≥ 2(x + 3)?

Back

x ≥ 8.

Front

How do you solve the inequality: 2(x + 1) + 4 < 3x - 5?

Back

x > 11.