Inequalities

Front

What does the inequality y < 5 represent when graphed?

Back

An open circle at (5, y) indicating that y can be any value less than 5, but not equal to 5.

Front

What does the inequality 2 > f represent when graphed?

Back

A closed circle at (2, f) indicating that f can be equal to 2 or any value less than 2.

Front

What does the inequality z < -1/2 represent when graphed?

Back

A closed circle at (-1/2, z) indicating that z can be equal to -1/2 or any value less than -1/2.

Front

Which inequality corresponds to the graph showing an open circle at -2?

Back

x < -2.

Front

Which inequality represents Mr. Gomez receiving a notice from the bank when his account drops below $20?

Back

x < 20.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does a closed circle indicate on a number line?

Back

A closed circle indicates that the number is included in the solution set (e.g., x ≤ 3 means x can be 3 or less).

Front

What does an open circle indicate on a number line?

Back

An open circle indicates that the number is not included in the solution set (e.g., x < 3 means x can be any number less than 3, but not 3 itself).

Front

How do you represent the inequality 'x is greater than -2' on a number line?

Back

Draw an open circle at -2 and shade to the right.

Front

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

Back

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