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Example 3: Solve and graph the inequality 3 3 12 364 4k k %u2212%u2264%u2212 .Note: Two ways to solve the inequality are shown below. On the right, both sides of the starting inequality are multiplied by the least common denominator, 4, to eliminate the fractions. Then the inequality is solved using the same inverse operations as on the left. 3 3 12 364 4k k %u2212%u2264%u22122 3 3 12 3412 6 14k k %u2212 %u2264 + + %u2212 3 3 484 4k k %u2264 %u2212 3 3 4843434 4k k + + k k %u2264 %u2212 6 484k %u2264 4 46 66 484%u2022 %u2022 k %u2264 k %u2264 32 3 3 12 364 4k k %u2212%u2264%u22124 4 3 3 12 364 4k k %u2212 %u2264 %uf8eb %uf8f6%uf8eb %uf8f6 %uf8ec %uf8f7 %uf8ed %uf8ed%uf8ec %uf8f7 %u2212 %uf8f8 %uf8f8 3k %u2013 48 %u2264 144 %u2013 3k 3k %u2013 48 + 48 %u2264 144 %u2013 3k + 48 3k %u2264 192 %u2013 3k 3k + 3k %u2264 192 %u2013 3k + 3k 6k %u2264 192 6 26 6k %u2264 19 k %u2264 32INEQUALITIES AND WORD PROBLEMSSome words that indicate an inequality is present in a real-life situation are shown below. These words can be used to write an inequality that can be solved. Inequality Sign Common Words Used Example> greater than, more than, overSituation: Over five people must attend the meeting.Inequality: n > 5 Note: n represents the number of people in attendance. The inequality can also be written as 5 < n.< less than, fewer than, underSituation: She has fewer than seven books.Inequality: n < 7Note: n represents the number of books she has. The inequality can also be written as 7 > n.%u2265greater than or equal to, at least, minimumSituation: He runs a minimum of two miles each day.Inequality: n %u2265 2Note: n represents the number of miles he runs. The inequality can also be written as 2 %u2264 n.%u2264less than or equal to, no more than, up to, at most, maximumSituation: There are no more than 24 fish in the tank.Inequality: n %u2264 24Note: n represents the number of fish in the tank. The inequality can also be written as 24 %u2265 n.%u00a9 GOOD AND BEAUTIFUL 4