Solving Inequalities (Friedman)

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 x + 10 > 22?

Back

Subtract 10 from both sides: x > 12.

Front

How do you solve the inequality 5x + 2 > 32?

Back

Subtract 2 from both sides and then divide by 5: x > 6.

Front

How do you solve the inequality 2(x − 10) + 16 < 12?

Back

Distribute and simplify: x < 8.

Front

How do you solve the inequality 3(x + 5) + 3 ≥ 30?

Back

Distribute and simplify: x ≥ 4.

Front

How do you solve the inequality 7x + 5 + 3 ≤ 36?

Back

Combine like terms and isolate x: x ≤ 4.