Answer:
The number line represent
a < b ..........TRUE.
Explanation:
Number Line:
Number line represent the positions of numbers.
With reference to the number zero
That is number to the right-hand side of zero are all positive numbers in increasing order.
And the number to the left hand side of zero are all negative numbers in decreasing order.
Overall if we go right hand side of number line the number will increase and if we will go to the left hand side of the number line the number will goes on decreasing.
∴ a < b ..........TRUE.
a to the Left hand side and b to the Right hand side.
i.e a is the negative number (small number)
b is the negative number (big number)
a is the negative number less than b negative number
if a = -3 and b = -2
∴ -3 < -2 i.e TRUE
Whereas,
|a| < |b| ........False
modulus make negative number positive
if a = -3 and b = -2
so condition will be False i.e 3 < 2
|a| < |b| but actual representation on number line will become False
Similarly,
For |a| < b ....False
if a = -3 and b = -2
So |a| < b i,.e 3 < -2 which is again False