Understanding Inequalities through Multiplication and Division

What happens to an inequality when both sides are multiplied by a positive number?

• The inequality sign reverses.

• The inequality becomes an equation.

• The inequality sign disappears.

• The inequality remains unchanged.

If you multiply both sides of an inequality by a negative number, what must you do to the inequality sign?

• Add a line underneath it.

• Turn it into an equation.

• Reverse it.

• Leave it unchanged.

In the context of the lesson, what does 'at least' imply when setting up an inequality?

• Greater than

• Less than

• Greater than or equal to

• Less than or equal to

When graphing the solution of an inequality, what does a filled-in circle represent?

• The inequality is an equation.

• The inequality is reversed.

• The number is not included in the solution.

• The number is included in the solution.

What is the result of dividing both sides of an inequality by a positive number?

• The inequality remains unchanged.

• The inequality sign reverses.

• The inequality sign disappears.

• The inequality becomes an equation.

When dividing both sides of an inequality by a negative number, what must you do to the inequality sign?

• Reverse it.

• Add a line underneath it.

• Turn it into an equation.

• Leave it unchanged.

In the example of solving 12k ≥ 60, what is the value of k?

• k < 5

• k ≥ 5

• k > 5

• k ≤ 5

What is the solution for q in the inequality -8q < 136 after solving it?

• q ≥ -17

• q > -17

• q < -17

• q ≤ -17

How can you verify the solution of an inequality?

• By reversing the inequality sign.

• By adding the same number to both sides.

• By substituting a value into the original inequality.

• By multiplying both sides by zero.

What does an open circle on a number line indicate when graphing an inequality?

• The number is not included in the solution.

• The number is included in the solution.

• The inequality sign is reversed.

• The inequality is an equation.