# Chapter P - Section P.9 - Linear Inequalities and Absolute Value Inequalities - Exercise Set - Page 139: 114

If the assessed home value is greater than ${{\$}} 32,000$, then the first bill would be a better deal. #### Work Step by Step Let$ x $be the assessed home value. Better deal = smaller cost to the homeowner. We want x for which (Cost of Bill 1)$ \lt $(Cost of Bill 2)$1800+0.03x \lt 200+0.08x\qquad $... add$-0.03x-2001600 \lt 0.05x\qquad $... multiply with$2032,000 \lt x $If the assessed home value is greater than${{\$}} 32,000$, then the first bill would be a better deal.

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