Solve and graph inequalities

Front

What does the inequality x < -4 represent on a number line?

Back

It represents all numbers less than -4, shown with an open circle at -4 and a line extending to the left.

Front

What does the inequality 11 ≤ a mean?

Back

It means that a is greater than or equal to 11, represented with a closed circle at 11 and a line extending to the right.

Front

When graphing x < 3, which type of circle is used?

Back

An open circle is used to indicate that 3 is not included in the solution.

Front

Solve the inequality 3x < -9. What is x?

Back

x < -3.

Front

Solve the inequality x + 4 < 4. What is x?

Back

x < 0.

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, while a closed circle indicates that it is included.

Front

How do you graph the inequality x > 2?

Back

Use an open circle at 2 and shade to the right.

Front

What does the inequality x ≥ 5 mean?

Back

It means that x is greater than or equal to 5, represented with a closed circle at 5 and a line extending to the right.

Front

If x < 0, what numbers are included in the solution?

Back

All negative numbers.

Front

How would you represent the inequality 4 ≤ x < 7 on a number line?

Back

Use a closed circle at 4, an open circle at 7, and shade between them.