Chapter 5 Polynomials and Polynomial Functions - 5.5 Apply the Remainder and Factor Theorems - 5.5 Exercises - Mixed Review - Page 368: 49

The solution is $(8,10)$.

Given: $5x-2y \gt 10$ Substitute $(4,6)$: $5.4-2.6 \gt 10$ $20-12 \gt 10$ $8\gt10→False$ Substitute $(8,10)$: $5.8-2.10 \gt 10$ $40-20 \gt 10$ $20 \gt 10→ True$ Hence, the solution is $(8,10)$.