Решение:
x+(|x+1|-6)= -7
x+|x+1-6= -7
x+x+1-6= -7, x+1≥0
x-(x+1)-6= -7, x+1<0
x=-1, x≥-1
x£R, x<-1
x=-1
x£ (-∞;-1)
x≠5 и x≠-7
x £ (-∞;-7)u(-7;-1]
Ответ:
или
x £ (-∞;-1] \ {-7}
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Решение:
x+(|x+1|-6)= -7
x+|x+1-6= -7
x+x+1-6= -7, x+1≥0
x-(x+1)-6= -7, x+1<0
x=-1, x≥-1
x£R, x<-1
x=-1
x£ (-∞;-1)
x≠5 и x≠-7
x £ (-∞;-7)u(-7;-1]
Ответ:
x £ (-∞;-7)u(-7;-1]
или
x £ (-∞;-1] \ {-7}