Define the sets A, B, C, D, and E as follows:

• A = {x R: x < -2}
• B = {x R: x > 2}
• C = {x R: |x| < 2}
• D = {x R: |x| 2}
• E = {x R: x -2}

Use the defintions for A, B, C, D, and E to answer the questions.

(a)

Do the sets A, B, and C form a partition ofR? If not, which condition of a partition is not satsified?

(b)

Do the sets A, B, and D form a partition ofR? If not, which condition of a partition is not satsified?

(c)

Do the sets B, D, and E form a partition ofR? If not, which condition of a partition is not satsified?