Understanding Inequalities in Algebra

What is the main difference between the solutions of equations and inequalities?

• Equations have infinite solutions, while inequalities have finite solutions.

• Equations have finite solutions, while inequalities have infinite solutions.

• Both equations and inequalities have finite solutions.

• Both equations and inequalities have infinite solutions.

How do you represent an inequality on a number line when the variable is less than a certain number?

• Draw an open circle on the number and shade to the left.

• Draw a closed circle on the number and shade to the left.

• Draw an open circle on the number and shade to the right.

• Draw a closed circle on the number and shade to the right.

What does filling in the circle on a number line indicate when graphing an inequality?

• The number is not included in the solution set.

• The number is included in the solution set.

• The inequality has no solution.

• The inequality is an equation.

When solving the inequality 3x < 12, what is the first step?

• Subtract 3 from both sides.

• Multiply both sides by 3.

• Add 3 to both sides.

• Divide both sides by 3.

After solving the inequality 3x < 12, what is the solution for x?

• x < 3

• x < 4

• x < 6

• x < 12