Unit 1.3: Special Case Compound Inequalities

What is the solution to the following:

x > 4 or x > -2

• x > 4

• x > -2

• No Solution

• All Reals

What is the solution to the following:

x > 4 and x > -2

• x > 4

• x > -2

• No Solution

• All Reals

What is the solution to the following:

x > 4 and x < -2

• x > 4

• x > -2

• No Solution

• All Reals

What is the solution to the following:

x < 4 or x > -2

• x > 4

• x > -2

• No Solution

• All Reals

Why is the following No Solution?

x > 5 and x < 3

• There are no values that satisfy both conditions.

• It has a solution; it can be also written as 3 < x < 5

• It has a solution. It is x = 4.

• The solution is actually All Reals.

Why is the solution to this x > -1 ?

x > -1 or x > 5

• The solution is actually x > 5 because it has to be true for both statements

• There is no solution.

• All values greater than -1 are true in at least one statement

• The answer is actually All Reals.