Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' represent in inequalities?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '>' represent in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '≤' represent in inequalities?

Back

The symbol '≤' means 'less than or equal to'.

Front

What does the symbol '≥' represent in inequalities?

Back

The symbol '≥' means 'greater than or equal to'.

Front

How do you solve the inequality 3x - 2 < 13?

Back

Add 2 to both sides to get 3x < 15, then divide by 3 to find x < 5.

Front

How do you translate the phrase 'Twice a number is smaller than 42' into an inequality?

Back

The phrase translates to the inequality 2x < 42.

Front

What is the first step to solve the inequality 0.5(x - 8) < 2?

Back

Multiply both sides by 2 to eliminate the decimal, resulting in x - 8 < 4.

Front

How do you solve the inequality 6x - 4 ≥ 26?

Back

Add 4 to both sides to get 6x ≥ 30, then divide by 6 to find x ≥ 5.

Front

What is the solution to the inequality -2x + 2 > 3x - 8?

Back

Add 2x to both sides to get 2 > 5x - 8, then add 8 to both sides to find 10 > 5x, and finally divide by 5 to find x < 2.