Inequalities Exit Ticket

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 symbols are used to represent inequalities?

Back

The symbols used to represent inequalities are: > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to).

Front

What does a closed dot on a number line indicate when graphing inequalities?

Back

A closed dot indicates that the number is included in the solution set, which is used for inequalities with ≤ or ≥.

Front

What does an open dot on a number line indicate when graphing inequalities?

Back

An open dot indicates that the number is not included in the solution set, which is used for inequalities with < or >.

Front

How do you solve the inequality m - 5 > 10?

Back

To solve m - 5 > 10, add 5 to both sides to get m > 15.

Front

How do you solve the inequality 2k > 18?

Back

To solve 2k > 18, divide both sides by 2 to get k > 9.

Front

What is the solution set for the inequality x ≤ 4?

Back

The solution set for x ≤ 4 includes all numbers less than or equal to 4.

Front

How do you graph the inequality y < 3?

Back

To graph y < 3, draw a horizontal line at y = 3 with an open dot, shading below the line.

Front

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

Back

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

Front

What is the solution to the inequality 5x + 3 < 18?

Back

To solve 5x + 3 < 18, subtract 3 from both sides to get 5x < 15, then divide by 5 to find x < 3.