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The set 
S={x∣-3 < x < 4} is described by which interval notation?

[-3,4]

(-3,4]

[-3,4 )

(-3,4)

The set \( S=\{x \mid-3

Full solution

Q. The set S={x3<x<4} S=\{x \mid-3<x<4\} is described by which interval notation?\newline[3,4] [-3,4] \newline(3,4] (-3,4] \newline[3,4 [-3,4 )\newline(3,4) (-3,4)
  1. Define inequality: The inequality -3 < x < 4 means xx is greater than 3-3 and less than 44.
  2. Use interval notation: In interval notation, parentheses () \left( \right) are used to indicate that an endpoint is not included in the set.
  3. Use parentheses for 3-3: Square brackets [[ ] are used to indicate that an endpoint is included in the set.
  4. Use parentheses for 44: Since 3-3 is not included, we use a parenthesis: (3(-3.
  5. Combine for interval notation: Since 44 is not included, we also use a parenthesis: 4)4).
  6. Combine for interval notation: Since 44 is not included, we also use a parenthesis: 4)4).Combine the two parts to get the interval notation: (3,4)(-3, 4).

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