Representing, Solving, Explaining, and Interpreting Inequalities

Front

What does the inequality x > 10 represent on a number line?

Back

An open circle at 10, shaded to the right.

Front

Is x = 9 a solution to the inequality x > 9?

Back

No, because 9 is not greater than 9.

Front

When solving inequalities, when do you need to switch the inequality symbol?

Back

You need to switch the symbol when multiplying or dividing by a negative number.

Front

What does the inequality x ≥ -5 represent on a number line?

Back

A closed circle at -5, shaded to the right.

Front

Solve the inequality -4x + 14 ≤ 54. What is the solution?

Back

x ≥ -10.

Front

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

Back

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

Front

How would you graph the inequality x < 3?

Back

An open circle at 3, shaded to the left.

Front

What does the inequality -2x > 10 imply about x?

Back

x < -5, because you divide by a negative number.

Front

What is the solution to the inequality 3x + 5 < 20?

Back

x < 5.

Front

How do you represent the solution set of x ≤ 4 on a number line?

Back

A closed circle at 4, shaded to the left.