simple inequalities

Front

What is a simple inequality?

Back

A mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does an open circle represent on a number line?

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 on a number line?

Back

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

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open circle at 3, and shade to the left.

Front

How do you graph the inequality x ≥ 4?

Back

Draw a number line, place a closed circle at 4, and shade to the right.

Front

What is the solution set for the inequality x > -2?

Back

All numbers greater than -2, represented as (-2, ∞) in interval notation.

Front

What does the inequality 5 ≤ x mean?

Back

x is greater than or equal to 5.

Front

How would you represent the inequality 'the temperature is at most -1 degree'?

Back

This can be represented as T ≤ -1.

Front

What is the difference between 'greater than' and 'greater than or equal to'?

Back

'Greater than' (>) does not include the number, while 'greater than or equal to' (≥) includes the number.

Front

If a graph shows a closed circle at -6 and shading to the right, what inequality does it represent?

Back

The inequality is r ≥ -6.