(logarithm and inequality) Given that the real number m satisfies the inequality log3 (1-1 / M + 2) > 0, try to solve the inequality (x-1) [(M + 3) x-m] > 0

(logarithm and inequality) Given that the real number m satisfies the inequality log3 (1-1 / M + 2) > 0, try to solve the inequality (x-1) [(M + 3) x-m] > 0

solution
M satisfies log3 (1-1 / M + 2) > 0
Then 1-1 / M + 2 > 1
1/(m+2)