Question

Cual es la solución de
6|-1/4f+3| +7 >7

Answer 1

Answer: f∈(-∞,12)U(12,+∞)

Explanation:

`\displaystyle\\6|-(1)/(4)f+3|+7 > 7 \\\\|-(1)/(4)f+3| > 0`

Divide both parts of the inequality by 6:

`\displaystyle\\|-(1)/(4)f+3| > 0`

A submodular expression can take any value except 0, hence:

`\displaystyle\\-(1)/(4)f+3\\eq 0\\\\`

Multiply both parts of the equation by -4:

`\displaystyle\\-(1)/(4) f(-4)+3(-4)\\eq 0(-4)\\\\f-12\\eq 0\\\\f-12+12\\eq 0+12\\\\f\\eq 12`