What does the number line represent?

The number line represent

a < b     TRUE.

Step-by-step 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