Math  /  Math Statement

QuestionSi aX,bRa \in \mathbb{X}, b \in \mathbb{R} y cRc \in \mathbb{R}, evalúa las proposiciones sobre aa, bb y cc.

Studdy Solution
For the fifth statement, we need to verify if the implication is true. The statement is(abc<0)(acbc)(a \geq b \wedge c<0) \Rightarrow(a c \leq b c)This statement is true. If aba \geq b and c<0c <0, then acbcac \leq bc. This is because when we multiply or divide inequalities by a negative number, the direction of the inequality changes.

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