Question 414849



given:

{{{p}}} is true({{{T}}}), {{{q}}} is true({{{F}}}), and {{{r}}} is false,({{{F}}})


since {{{p}}} is ({{{T}}}), ~p is false ({{{F}}})

and since {{{r}}} is false then ~r is true ({{{T}}})

({{{q}}} V ~r) is true ({{{T}}}) since  {{{q}}} is ({{{F}}})  and ~r is true ({{{T}}})


so
{{{p}}} ->({{{q}}} V ~r) becomes {{{T}}} ->{{{T}}}which yields {{{T}}}


so the truth value of {{{p}}} -> ({{{q}}} V ~r) is "{{{T}}}"