Testing Solutions to 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

How do you determine if a value is a solution to an inequality?

Back

To determine if a value is a solution to an inequality, substitute the value into the inequality and check if the resulting statement is true.

Front

What does the symbol '>' represent in inequalities?

Back

'>' means 'greater than'.

Front

What does the symbol '<' represent in inequalities?

Back

'<'' means 'less than'.

Front

What does the symbol '≥' represent in inequalities?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent in inequalities?

Back

'≤' means 'less than or equal to'.

Front

How do you solve the inequality 3g > 12?

Back

To solve 3g > 12, divide both sides by 3 to get g > 4.

Front

What is the solution to the inequality x + 9 > 21?

Back

The solution is x > 12.

Front

How do you read the inequality x ≥ 6?

Back

You read it as 'x is greater than or equal to 6'.

Front

What is the solution to the inequality x/4 ≤ 8?

Back

To solve x/4 ≤ 8, multiply both sides by 4 to get x ≤ 32.