Is -14 a possible solution for 2x+7 3x-5?

[10 points, algebra 2]according to my answer key the restrictions are -1 and 4. but why not positive 1?

Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)

We just started the introduction into circles and i have no idea how to do this.