For Inequalities

1. If x > y, then -x < -y.
2. If x > y, then x + p > y + p where p can be +ve, -ve or 0.
3. If x > y and p is a +ve number then xp > yp and x/p>y/p
4. If x > y and p is a –ve number then x/p<y/p
5. If x > y and x, y are +ve, then 1/x<1/y
6. If x > y and x, y are –ve, then 1/x<1/y
7. |a + b| ≤ |a| + |b|
8. |a - b| ≥ |a| - |b|
9. | x | < a where a is +ve means –a < x < a.
10. | x | > a, where a is +ve means x < -a or x > a.

Maths Questions

A man took a loan of Rs.5000, which is to be paid in three equal yearly
installments. If the rate of interest is 10% per annum CI. Find the value of each
installment.