Define the sets A, B, C, D, and E as follows:А 3D (x € R: x < -2}в %3D {x € R: х> 2}C = {x € R: |x| < 2}D = {x € R: |x| < 2}E = {x € R: x < -2}Use the definitions for A, B, C, D, and E to answer the question.Do the sets B, D, and E form a partition of R? If not, which condition of a partition is notsatisfied?O No. B U DUE + R.No. D N E # Ø because -2 E DN E.O No. B n D + Ø because 2 € D n E.Yes.B N D = Ø, D NE = Ø, and E n B = Ø.The sets B, D, and E are all non-empty sets of real numbers. No. BUD U E + R.No. DN E # Ø because -2 E D N E.No. B N D # Ø because 2 € D N E.Yes.B n D = Ø, D NE = Ø, and E n B = Ø.The sets B, D, and E are all non-empty sets of real numbers.BUDUE = R.

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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 definitions for A, B, C, D, and E to answer the question. Do the sets B, D, and E form a partition of R? If not, which condition of a partition is not satisfied? No. BUDUE + R. No. DNE + Ø because -2 € D N E. No. B n D + Ø because 2 EDNE. Yes. B n D = Ø, DNE = Ø, and E n B = Ø.