Question

You are given the following five inequalities.

(1) a>b

(2) a>c

(3) b≥d

(4) c>d

(5) d≥e

Which of the following statements can you conclude based on deductive reasoning?
Question Select one or more:
a.
a>d
b.
a>e
c.
b>c
d.
b>e
e.
c>e

Answer 1

Hi,

Explanation:

You are given the following five inequalities.

`\left\{\begin{array}ca& > &b&(1)\\a& > &c&(2)\\b&\geq &d&(3)\\c& > &d&(4)\\d&\geq& e&(5)\\\end {array} \right.\\\\\\a)\\a > b\ and\ b\geq d\ \Longrightarrow\ a > d\\or\\a > c\ and\ c > d\ \Longrightarrow\ a > d\\\\b)\\a > b\ and\ b\geq d\ and\ d \geq e \Longrightarrow\ a > e\\or\\a > c\ and\ c > d\ and\ d \geq e \Longrightarrow\ a > e\\\\\\c)\\it\ is\ not\ a\ deductive\ reasoning.\\d)\\b \geq d\ and\ d \geq e\ \Longrightarrow\ b \geq e\\it\ is\ not\ a\ deductive\ reasoning.\\\\`

`e)\\c > d \ and\ d \geq e\ \Longrightarrow\ c > e\\`

selection is : a, b, e.