Understanding Linear Inequalities Flashcard

Front

What is a linear inequality?

Back

A linear inequality is a mathematical statement that relates a linear expression to a value using inequality symbols such as <, >, ≤, or ≥.

Front

What does the inequality x > 5 represent?

Back

The inequality x > 5 represents all real numbers that are greater than 5.

Front

Is 5 a solution to the inequality x > 5?

Back

No, 5 is not a solution to the inequality x > 5 because it does not satisfy the condition of being greater than 5.

Front

What is the symbol for 'less than or equal to'?

Back

The symbol for 'less than or equal to' is ≤.

Front

Translate the phrase 'y is less than or equal to 8' into a mathematical inequality.

Back

y ≤ 8.

Front

What does the inequality x ≥ -2 indicate?

Back

The inequality x ≥ -2 indicates that x can be any number greater than or equal to -2.

Front

How do you graph the inequality r ≥ -6?

Back

To graph r ≥ -6, draw a solid line at r = -6 and shade to the right to indicate all values greater than -6.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary point, while non-strict inequalities (≤, ≥) include the boundary point.

Front

What is the solution set of the inequality x < 3?

Back

The solution set of the inequality x < 3 includes all real numbers less than 3.

Front

How can you check if a number is a solution to an inequality?

Back

To check if a number is a solution to an inequality, substitute the number into the inequality and see if the statement is true.