Question

1. Write and solve an inequality that represents the number of months the center could

rent games from NetGames with its $175. Explain the solution in terms of the problem.

Answer 1

Given that the Centre is signing up for a rental game service online rather than buying the game.

The monthly fees and the equipment cost of the two services that is the 'Anytime games' and the 'Netgames' are attached below.

Therefore, the inequality which represent the number that the center can rent the online games from the NetGames is :

175 - 8m ≥ 99

175 - 8m - 99 ≥ 99 - 99 (Subtracting 99 from both side of the inequality)

76 - 8m ≥ 0 (Simplify)

76 - 8m -76 ≥ 0 - 76 (Subtracting 76 from both side of the inequality)

- 8m ≥ - 76 (Simplify)

8m ≥ 76 (removing the minus sign form both sides)

`$(8m)/(8) \geq(76)/(8)$` (Divide each side of the inequality by 8)

m ≥ 9.5