Intro to inequalities test

Front

What does an open circle represent when graphing 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 represent when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≥ 15).

Front

How do you represent 'less than' in inequality notation?

Back

The symbol for 'less than' is '<'. For example, 'less than 8' is represented as x < 8.

Front

How do you represent 'less than or equal to' in inequality notation?

Back

The symbol for 'less than or equal to' is '≤'. For example, 'x is less than or equal to 35' is written as x ≤ 35.

Front

What does the direction of the arrow indicate when graphing inequalities?

Back

The direction of the arrow indicates the range of values that satisfy the inequality. An arrow pointing to the right indicates values greater than the number, while an arrow pointing to the left indicates values less than the number.

Front

What is the inequality representation for 'the speed limit is 35 miles per hour'?

Back

The inequality is x ≤ 35, meaning x can be any value less than or equal to 35.

Front

If x ≤ 9, which direction would the arrow point on a number line?

Back

The arrow would point to the left, indicating all values less than or equal to 9.

Front

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

Back

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

Front

How would you graph the inequality x < 5?

Back

You would draw an open circle at 5 and shade to the left, indicating all values less than 5.

Front

What is the significance of the boundary point in an inequality?

Back

The boundary point determines whether the value is included in the solution set (closed circle) or not (open circle).