Let S = {4, 6, 8} and T = {3, 5, 7}. Use set-roster notation to write each of the following sets, and indicate the number of elements that are in each set. (a) SxT {(4,3)} SxT = Number of elements in S ×T = 9 (b) ТxS TxS = Number of elements in T x S = 9 (c) Sx S SxS = Number of elements in S × S = 9 (d) TxT TxT = Number of elements in T xT = 9

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let \( S = \{4, 6, 8\} \) and \( T = \{3, 5, 7\} \).

Use set-roster notation to write each of the following sets, and indicate the number of elements that are in each set.

(a) \( S \times T \)

\( S \times T = \{ (4,3) \} \) (Incorrect)

Number of elements in \( S \times T = 9 \) ✔️

---

(b) \( T \times S \)

\( T \times S = \) (Blank)

Number of elements in \( T \times S = 9 \) ✔️

---

(c) \( S \times S \)

\( S \times S = \) (Blank)

Number of elements in \( S \times S = 9 \) ✔️

---

(d) \( T \times T \)

\( T \times T = \) (Blank)

Number of elements in \( T \times T = 9 \) ✔️

---

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Transcribed Image Text:Let \( S = \{4, 6, 8\} \) and \( T = \{3, 5, 7\} \). Use set-roster notation to write each of the following sets, and indicate the number of elements that are in each set. (a) \( S \times T \) \( S \times T = \{ (4,3) \} \) (Incorrect) Number of elements in \( S \times T = 9 \) ✔️ --- (b) \( T \times S \) \( T \times S = \) (Blank) Number of elements in \( T \times S = 9 \) ✔️ --- (c) \( S \times S \) \( S \times S = \) (Blank) Number of elements in \( S \times S = 9 \) ✔️ --- (d) \( T \times T \) \( T \times T = \) (Blank) Number of elements in \( T \times T = 9 \) ✔️ --- **Need Help?** Buttons labeled "Read It" and "Watch It" are provided for additional assistance.
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