New Flashcard 2.1, Inequality Graphs

Front

What does the inequality x > 1 represent on a number line?

Back

It represents all numbers greater than 1, with an open circle at 1 and a line extending to the right.

Front

How is the inequality x ≥ 2 represented graphically?

Back

It is represented with a closed circle at 2 and a line extending to the right, indicating all numbers greater than or equal to 2.

Front

What does the inequality x > 2 indicate about the values of x?

Back

It indicates that x can take any value greater than 2, represented by an open circle at 2 and a line extending to the right.

Front

How is the inequality x < 2 represented on a graph?

Back

It is represented with an open circle at 2 and a line extending to the left, indicating all numbers less than 2.

Front

What does the inequality x ≥ 1 signify?

Back

It signifies that x can take any value greater than or equal to 1, represented by a closed circle at 1 and a line extending to the right.

Front

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

Back

x > 2 means x is greater than 2 (open circle at 2), while x ≥ 2 means x is greater than or equal to 2 (closed circle at 2).

Front

How do you graph the inequality x < 3?

Back

You place an open circle at 3 and draw a line extending to the left.

Front

What does the inequality x ≤ 4 mean?

Back

It means x can take any value less than or equal to 4, represented by a closed circle at 4 and a line extending to the left.

Front

What is the graphical representation of the inequality x > -1?

Back

It is represented with an open circle at -1 and a line extending to the right.

Front

How do you determine if a point is a solution to the inequality x < 5?

Back

A point is a solution if it is less than 5; for example, 4 is a solution, but 5 is not.