SkyannaR699939 SkyannaR699939
  • 03-11-2022
  • Mathematics
contestada

For the statement below, find the contrapositive. If Mike does his Geometry homework, then he will get a good grade.

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CadienN41515 CadienN41515
  • 03-11-2022

Remeber that given a proposition of the following form:

[tex]p\Rightarrow q[/tex]

then, the contrapositive of the implication is:

[tex]\neg q\Rightarrow\neg p[/tex]

in this case, we have the following:

[tex]p\Rightarrow q\equiv\text{ If Mike does his Geometry homework, then he will get a good grade}[/tex]

then, the contrapositive is:

[tex]\begin{gathered} \neg q\Rightarrow\neg p\equiv \\ \text{If Mike does not get a good grade, then he did not do his Geometry homework} \end{gathered}[/tex]

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