One-dimensional quadratic inequality in high school mathematics

1. Seek the range of number A according to the absolute value of (x-3)

2(x^-7x+ 12)(x^2+x+ 1)>； 0 Because x 2+x+ 1 is always true, it is only necessary to make (x-7x+ 12) greater than 0, which can ensure that the whole inequality is greater than 0 (positive is positive), that is, the factorization factor of (x-7x+ 12). 0 so x-3 >; 0，x-4 & gt； 0 or x-4

3m & gt； 5, when x-5

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