Answer:
Option 4 -
![-1.4,\ -(1)/(2),\ (1)/(5),\ 3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z2lo7a2p6xa33ybdnni1wp3caj4u94t4a1.png)
Explanation:
To find : Which set of rational numbers is arranged from least to greatest?
Solution :
The set of rational numbers are
![3,\ (1)/(5),\ -1.4,\ -(1)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ti93nb0qrukpkzisu1sapq8ni0hflprp45.png)
Writing all number in one form,
![(1)/(5)=0.2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pzobx2rs9oqtnl4u6ofu4hyd8vuejte0mz.png)
![-(1)/(2)=-0.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/74rljwgkksw9k8jqldw4tv3pd7pjzzl9d9.png)
Now, -1.4<-0.5<0.2<3
From least to greatest the set of natural numbers are
![-1.4<\ -(1)/(2)<(1)/(5)<\ 3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p532prfd1cw28fl65e98wxih9hbox4da6b.png)
So,
![-1.4,\ -(1)/(2),\ (1)/(5),\ 3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z2lo7a2p6xa33ybdnni1wp3caj4u94t4a1.png)
Therefore, option 4 is correct.