Given:
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
To find:
The inequality which is true.
Solution:
Consider the number line as shown in the below figure.
We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.
From the number line it is clear that -1.5 is on the left side of 0.5. So,
[tex]-1.5<0.5[/tex]
Hence, option A is incorrect.
-0.5 is on the left side of 0. So,
[tex]-0.5<0[/tex]
Hence, option B is incorrect.
-1.5 is on the left side of -0.5. So,
[tex]-1.5<-0.5[/tex]
Hence, option C is correct.
One half is equal to 0.5.
[tex]\dfrac{1}{2}=0.5[/tex]
Hence, option D is incorrect.
