Question

If A + D > C + E, C + D - 2B and B + E > C + D it necessarliy follows that _______________.

• A. A + B > 2D
• B. B + D > C+ E
• C. A + D > B + E
• D. A + D > B + C

Answer 1

The correct option is D A + D > B + C

A+D>C+EA+D>C+E
⇒A+D>(2B−D)+E(∵C+D=2B)⇒A+D>(2B−D)+E(∵C+D=2B)
⇒A+D>(B+E)+(B−D)⇒A+D>(B+E)+(B−D)
⇒A+D>(C+D)+(B−D)⇒A+D>(C+D)+(B−D)
⇒A+D>B+C