Fsc Part 1 Mathematics (Complete Solution)
Q3
Name the properties used in the following inequalities
(i) -3 < -2 => 0 < 1
SOLUTION
-3 < -2 ......EQ(i)
adding 3 on both sides in EQ 1
=-3+3<-2+3
= 0<1
Additive Property
(ii) -5 < -4 => 20 > 16
SOLUTION
-5 < -4 ............EQ 1
multiply by -4 on bothsides in eq 1
= (-5)(-4) < (-4)(-4)
= 20 > 16
Multiplicative Property
(iii) 1 > - 1 => -3 > -5
SOLUTION:
Additive Property
(iv) a < 0 => -a > 0
SOLUTION;
Multiplicative property
| (v) | a > b => |
|
< |
|
SOLUTION:
Multiplicative Property
(vi) a > b => -a < -b
SOLUTION:
Multiplicative Property