Answer: The three consecutive odd integers are: -15, -13, and -11 . _______________________________________________________ Explanation: _____________________________________________ x + (x + 2) + (x + 4) = -39 ; _____________________________________________ in which "x" is one of the integers, "(x + 2)" is the next consecutive odd integer; "(x + 4)" is the third consecutive odd integer. __________________________________________ By solving for "x", we can solve for each of three (3) consecutive odd integers. ________________________________________________________ x + (x + 2) + (x + 4) = -39 ; _________________________________________________________ 1x + 1x + 2 + 1x+ 4 = -39 ; _____________________________________________________ 3x + 6 = -39 ; ______________________________________________ Subtract "6" from EACH side of the equation: ______________________________________________ 3x + 6 − 6 = -39 <span>− 6 ; ____________________________________________________ to get: 3x = -45 ; ____________________________________________________ Divide EACH side of the equation by "3" ; ____________________________________________________ 3x / 3 = -45 / 3 ; _____________________________________________________ to get: x = -15 ; ______________________________________________________ x + 2 = -15 + 2 = -13 ; _______________________________________________________ x + 4 = -15 + 4 = -11 . ___________________________________________________ Are: -15, -13, and -11 ; Consecutive odd integers? YES! ___________________________________________________ Does: -15 + (-13) + (-11) =? = -39 ?? _____________________________________________________ -15 </span>− 13 <span>− 11 = ? 39 ?? YES! ____________________________________________________ Answer: The three consecutive odd integers are: -15, -13, and -11. _______________________________________________________</span>
