Warm Up 12/1 Unit 3 Lesson 15

Front

What does an open circle represent on a graph for an inequality?

Back

An open circle indicates that the value is not included in the solution set (e.g., y < 5 means y can be any value less than 5, but not equal to 5).

Front

What does a closed circle represent on a graph for an inequality?

Back

A closed circle indicates that the value is included in the solution set (e.g., y ≤ 5 means y can be any value less than or equal to 5).

Front

What inequality matches the graph with an open circle at 3?

Back

x < 3.

Front

What inequality matches the graph with a closed circle at -2?

Back

x ≤ -2.

Front

How do you represent the inequality 'y > -1' on a graph?

Back

Use an open circle at -1 and shade above the line.

Front

What does the inequality 'x < 20' represent in a real-world context?

Back

It represents a situation where a value is less than 20, such as Mr. Gomez receiving a notice from the bank when his account drops below $20.

Front

What is the difference between 'x > -2' and 'x ≥ -2'?

Back

'x > -2' uses an open circle (not including -2), while 'x ≥ -2' uses a closed circle (including -2).

Front

What does the inequality 'y < 5' look like on a graph?

Back

An open circle at 5 with shading below the line.

Front

If a graph shows a line with a closed circle at 3, what inequality does it represent?

Back

x ≤ 3.

Front

What is the graphical representation of 'x > 3'?

Back

An open circle at 3 with shading to the right.