Inequality Review

Front

What does the inequality x ≥ 5 represent in a real-world context?

Back

It represents that a person must be at least 5 feet tall to ride the roller coaster.

Front

How do you determine a value that makes the inequality x + 5 ≥ 27 false?

Back

To make the inequality false, you need to find a value of x that, when added to 5, is less than 27. For example, x = 21 makes it false because 21 + 5 = 26, which is less than 27.

Front

What does the inequality x ≥ 1.5 signify in a gym class scenario?

Back

It signifies that a student must run at least 1.5 miles during gym class.

Front

What inequality is represented by the graph showing all values less than 1?

Back

The inequality represented is x < 1.

Front

What does the inequality r ≥ 7 indicate about the value of r?

Back

It indicates that the value of r is greater than or equal to 7.

Front

What is the general form of a linear inequality?

Back

The general form of a linear inequality is ax + b < c, ax + b > c, ax + b ≤ c, or ax + b ≥ c, where a, b, and c are constants.

Front

How can you graph the inequality x > 3?

Back

To graph x > 3, draw a number line, place an open circle at 3, and shade to the right to indicate all numbers greater than 3.

Front

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

Back

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

Front

How do you solve the inequality 2x - 4 < 10?

Back

Add 4 to both sides to get 2x < 14, then divide by 2 to find x < 7.

Front

What does the solution set of an inequality represent?

Back

The solution set of an inequality represents all possible values that satisfy the inequality.