解?$: (1)$?計算所有可能的數(shù)對相乘的積:
?$ (-5) × 1 = -5,$??$(-5) × (-3) = 15,$??$(-5) × 5 = -25,$?
?$ 1 × (-3) = -3,$??$1 × 5 = 5,$??$(-3) × 5 = -15。$?
?$ $?比較可得最大積?$m=15,$?最小積?$n=-25。$?
?$ (2)$?將?$m=15,$??$n=-25$?代入?$|x+n|=m,$?得?$|x - 25|=15。$?
根據(jù)絕對值定義,有?$x - 25 = 15$?或?$x - 25 = -15,$?
?$ $?解得?$x=40$?或?$x=10。$?