Inequalities Flashcard

Front

What does an open circle on a number line represent in inequalities?

Back

An open circle indicates that the number is not included in the solution set (e.g., x > 5).

Front

What does a closed circle on a number line represent in inequalities?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≥ 5).

Front

What is the inequality for the graph with an open circle at 5 and an arrow pointing left?

Back

x < 5.

Front

What is the inequality for the graph with a closed circle at 5 and an arrow pointing right?

Back

x ≥ 5.

Front

What happens to the inequality sign when both sides of an inequality are multiplied or divided by a negative number?

Back

The inequality sign flips.

Front

Write the inequality for: 'Twenty-two more than four times a number is less than 82.'

Back

22 + 4n < 82.

Front

What is the solution set for the inequality x > 5?

Back

All numbers greater than 5.

Front

What is the solution set for the inequality x ≤ 5?

Back

All numbers less than or equal to 5.

Front

How do you represent the inequality 'x is less than or equal to 5' on a number line?

Back

A closed circle at 5 with an arrow pointing left.

Front

What does the inequality x < 5 mean in terms of a number line?

Back

All numbers to the left of 5, not including 5.