Solving and Graphing Inequalities Homework

Front

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

Back

All values of k that are less than 3, represented by an open circle at 3 and shading to the left.

Front

How do you solve the inequality -2k > 18?

Back

Divide both sides by -2 (remember to flip the inequality sign): k < -9.

Front

What is the solution to the inequality 1 + 3r > 10?

Back

Subtract 1 from both sides: 3r > 9, then divide by 3: r > 3.

Front

When graphing the inequality b ≤ 6, what type of circle is used?

Back

A closed circle is used to indicate that 6 is included in the solution.

Front

What is the solution to the inequality 10 ≥ x - 3?

Back

Add 3 to both sides: 13 ≥ x, or x ≤ 13.

Front

What does an open circle indicate when graphing inequalities?

Back

An open circle indicates that the number is not included in the solution set.

Front

What does a closed circle indicate when graphing inequalities?

Back

A closed circle indicates that the number is included in the solution set.

Front

How do you graph the inequality x > 4?

Back

Use an open circle at 4 and shade to the right.

Front

What is the first step in solving the inequality 5x - 2 < 13?

Back

Add 2 to both sides: 5x < 15.

Front

What is the solution to the inequality 4x + 1 ≥ 9?

Back

Subtract 1 from both sides: 4x ≥ 8, then divide by 4: x ≥ 2.