tmua 2020 Q10

tmua · Uk · paper2 1 marks Inequalities Ordering and Sign Analysis from Inequality Constraints

The real numbers $a , b , c$ and $d$ satisfy both
$$0 < a + b < c + d$$
and
$$0 < a + c < b + d$$
Which of the following inequalities must be true? I $a < d$ II $b < c$ III $a + b + c + d > 0$
A none of them
B I only
C II only
D III only
E I and II only F I and III only G II and III only H I, II and III

..... 12

The real numbers $a , b , c$ and $d$ satisfy both

$$0 < a + b < c + d$$

and

$$0 < a + c < b + d$$

Which of the following inequalities must be true?\\
I $a < d$\\
II $b < c$\\
III $a + b + c + d > 0$

A none of them\\
B I only\\
C II only\\
D III only\\
E I and II only\\
F I and III only\\
G II and III only\\
H I, II and III

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20