New Flashcard 2.1, Inequality Graphs

Front

What does the inequality x > 2 represent on a number line?

Back

The graph of x > 2 is represented by an open circle at 2 and a line extending to the right, indicating all numbers greater than 2.

Front

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

Back

The graph of x > 1 is represented by an open circle at 1 and a line extending to the right, indicating all numbers greater than 1.

Front

How is the inequality x ≤ 2 represented on a number line?

Back

The graph of x ≤ 2 is represented by a closed circle at 2 and a line extending to the left, indicating all numbers less than or equal to 2.

Front

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

Back

The graph of x ≥ 1 is represented by a closed circle at 1 and a line extending to the right, indicating all numbers greater than or equal to 1.

Front

How is the inequality x ≥ 2 represented on a number line?

Back

The graph of x ≥ 2 is represented by a closed circle at 2 and a line extending to the right, indicating all numbers greater than or equal to 2.

Front

What is the difference between an open circle and a closed circle on a number line?

Back

An open circle indicates that the number is not included in the solution (e.g., x > 2), while a closed circle indicates that the number is included (e.g., x ≤ 2).

Front

What does the inequality x < 3 represent on a number line?

Back

The graph of x < 3 is represented by an open circle at 3 and a line extending to the left, indicating all numbers less than 3.

Front

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

Back

The graph of x ≤ -1 is represented by a closed circle at -1 and a line extending to the left, indicating all numbers less than or equal to -1.

Front

How do you graph the inequality x > -2?

Back

To graph x > -2, place an open circle at -2 and draw a line extending to the right.

Front

What does the inequality -3 < x < 1 represent on a number line?

Back

The graph of -3 < x < 1 is represented by open circles at -3 and 1, with a line connecting them, indicating all numbers between -3 and 1, not including -3 and 1.