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 =>
1
a
<
1
b

SOLUTION:

Multiplicative Property

(vi) a > b => -a < -b

SOLUTION:

Multiplicative Property

Other Topics

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