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True or False. Determine whether the statement is correct. " X is greater than or equal to 9 can be represented x <= 9." True False Previous

True or False. Determine whether the statement is correct.

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Full solution

Q. True or False. Determine whether the statement is correct.
  1. Understand the statement: Understand the statement.\newlineThe statement to evaluate is whether ＂X≥9X \geq 9＂ is equivalent to ＂x≤9x \leq 9＂.
  2. Compare the inequalities: Compare the inequalities.\newlineThe original inequality is ＂X≥9X \geq 9＂, which can be written in mathematical terms as ＂x≥9x \geq 9＂.\newlineThe inequality given for comparison is ＂x≤9x \leq 9＂.
  3. Determine equivalence: Determine if the inequalities are equivalent.\newlineThe inequality ＂x≥9x \geq 9＂ means that xx is 99 or any number greater than 99.\newlineThe inequality ＂x≤9x \leq 9＂ means that xx is 99 or any number less than 99.\newlineThese two inequalities are not equivalent because they represent opposite conditions.
  4. Conclude truth value: Conclude the truth value of the statement.\newlineSince x≥9x \geq 9 is not the same as x≤9x \leq 9, the statement XX is greater than or equal to 99 can be represented as x≤9x \leq 9 is false.

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