Worksheet on systems of inequalities word problems with graphing exercises.

A worksheet titled "Systems of Inequalities Word Problems" from Math Monks, featuring two word problems involving linear inequalities with accompanying graphing grids.

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- Let `r` be the number of rabbits and `d` be the number of dogs.
- The system of inequalities is: `r + d ≤ 20`, `r ≤ 8`, `r ≥ 0`, `d ≥ 0`.
- The solution region is the polygon bounded by these lines, including the intercepts (0,0), (0,20), (8,12), and (8,0).
- Any point within or on the boundary of this region represents a valid combination of rabbits and dogs.

- a) Let `w` be packages of wings and `h` be packages of hot dogs. The inequality is: `7w + 5h ≤ 40`.
- b) The inequality is: `h ≥ 5`.
- c) Graph both inequalities. The feasible region is bounded by the lines `7w + 5h = 40` and `h = 5`. Two possible points are (0,5) and (5,5).

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