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Which is the set of numbers greater than 1111?\newlineChoices:\newline(A) {xx=11}\{x | x = 11\}\newline(B) {xx11}\{x | x \geq 11\}\newline(C) {xx11}\{x | x \leq 11\}\newline(D) \{x | x > 11\}

Full solution

Q. Which is the set of numbers greater than 1111?\newlineChoices:\newline(A) {xx=11}\{x | x = 11\}\newline(B) {xx11}\{x | x \geq 11\}\newline(C) {xx11}\{x | x \leq 11\}\newline(D) {xx>11}\{x | x > 11\}
  1. Identify Inequality Sign: Identify the inequality sign that represents numbers greater than a certain value.\newlineIn this case, we are looking for numbers greater than 1111, so the inequality sign we are interested in is >.
  2. Match with Set Notation: Match the correct inequality sign with the set notation options provided.\newlineWe need to find the set notation that correctly represents the set of numbers greater than 1111. The correct set notation will include the > sign.
  3. Review and Select: Review the choices and select the one that matches our criteria.\newline(A) xx=11{x | x = 11} represents the set containing only the number 1111, which is not what we want.\newline(B) xx11{x | x \geq 11} represents the set of numbers greater than or equal to 1111, which includes 1111 itself, so it's not strictly greater than 1111.\newline(C) xx11{x | x \leq 11} represents the set of numbers less than or equal to 1111, which is the opposite of what we're looking for.\newline(D) {x | x > 11} represents the set of numbers strictly greater than 1111, which is exactly what we need.

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