Answer:
There are two possible locations. E could be located in either -8 or 2.
Step-by-step explanation:
The number line is a one-dimensional graphing model for real numbers, in which each element is represented by points. Under this system, there are two directions:
[tex]-x[/tex] - Left semiaxis that corresponds to negative real numbers.
[tex]+x[/tex] - Right semiaxis that corresponds to positive real numbers.
Both semiaxis are divided by origin, which represents the real number zero.
Let E and F points on the number. If we know that [tex]F = -3[/tex] and [tex]EF = 5[/tex], there are two choices for the location of E. That is:
[tex]E_{1} = F+EF[/tex]
[tex]E_{1} = -3+5[/tex]
[tex]E_{1} = 2[/tex]
[tex]E_{2} = F-EF[/tex]
[tex]E_{2} = -3 -5[/tex]
[tex]E_{2} = -8[/tex]
There are two possible locations. E could be located in either -8 or 2.
