Odd integers are:
1, 3, 5, ...
They are spaced "2" units apart.
So,
if the first odd number is "x",
the next is "x + 2"
the third one is "x + 2 + 2"
the fourth one is " x + 2 + 2 + 2"
Thus, the four consecutive odd numbers are:
[tex]\begin{gathered} x \\ x+2 \\ x+4 \\ x+6 \end{gathered}[/tex]We sum the expressions and equal to -8. Then solve for x:
[tex]\begin{gathered} x+x+2+x+4+x+6=-8 \\ 4x+12=-8 \\ 4x=-8-12 \\ 4x=-20 \\ x=-\frac{20}{4} \\ x=-5 \end{gathered}[/tex]So,
This is the least integer out of the 4:
x = - 5