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There are several statements in the table below.For each, determine whether it is a negation of this statement.x is not equal to 300.Statement Negation?Yes Nox is equal to 100. x is equal to 300. x is not equal to 400. It is not the case that x is equal to 400.

Question

There are several statements in the table below.For each, determine whether it is a negation of this statement.x is not equal to 300.Statement Negation?Yes Nox is equal to 100. x is equal to 300. x is not equal to 400. It is not the case that x is equal to 400.

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Solution

The table seems to be asking whether each statement is a negation of the statement "x is not equal to 300." Here's how you would evaluate each one:

  1. "x is equal to 100." - This is not a negation of the statement "x is not equal to 300." While it does specify a value for x that is not 300, it doesn't cover all possible values of x that are not 300.

  2. "x is equal to 300." - This is a negation of the statement "x is not equal to 300." It directly contradicts the original statement by asserting that x is indeed 300.

  3. "x is not equal to 400." - This is not a negation of the statement "x is not equal to 300." It's a different statement altogether that doesn't address whether or not x is 300.

  4. "It is not the case that x is equal to 400." - This is also not a negation of the statement "x is not equal to 300." It's essentially the same as the previous statement, just phrased differently. It doesn't contradict the original statement about x not being 300.

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The truth value of a negation (NOT) in a truth table is true when:a.The operand is trueb.The operand is falsec.The operand is unknownd.The operand is both true and false

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