One variable Inequalities 1

Like equations, we can change inequality statements as long as we...

• solve for x.

• treat both sides equally.

• flip the inequality sign.

• graph our answer.

Answer explanation

The relationship of the two sides of an inequality must be maintained while solving or simplifying it. So what ever we do to one side we must also do the other side in exactly the same way.

When writing an interval notation [ ] means?

• The two numbers are not included in the answer set

• The numbers are both infinite

• The two numbers are included in the answer set

• The set in incomplete

Answer explanation

In interval notation the square brackets have special meaning. Square brackets "[ ]" means that the numbers with the brackets are to be included in the answer set.

What does this mean?

• Negative 3 is not included in the answer set.

• Negative 3 in included in the answer set

• The answer set includes negative infinity.

• The answer set ends at zero.

What is the solution for this inequality?

Answer explanation

To get "k" isolated we divide both sides by 2. Leave the equality symbol the same.

What is the solution to this inequality?

What is the solution to this?

Solve this inequality.

What is the solution for this inequality?

What is the interval notation for this inequality?

Solve for this inequality.