Solve Inequalities

Front

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

Back

It represents all values of k that are less than 3, which is shown as an open circle at 3 and a line extending to the left.

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides to get x ≤ 8.

Front

What does the inequality 2 > p mean in terms of p's possible values?

Back

It means that p can take any value less than 2.

Front

How do you solve the inequality 4h < 8?

Back

Divide both sides by 4 to get h < 2.

Front

What is the significance of an open circle on a graph of an inequality?

Back

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

Front

What does a closed circle on a number line indicate in terms of inequalities?

Back

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

Front

How can you represent the solution to the inequality x > 5 on a number line?

Back

Draw an open circle at 5 and shade the line to the right.

Front

What is the first step in solving the inequality 3x - 4 ≥ 5?

Back

Add 4 to both sides to isolate the term with x.

Front

What does the inequality p ≤ 7 represent?

Back

It represents all values of p that are less than or equal to 7.

Front

How do you graph the inequality -2 < x ≤ 4?

Back

Draw an open circle at -2 and a closed circle at 4, shading the region between them.