Algebra 2



Algebra II1-5 Part 1: Solving Inequalities-75565192405Objectives: To solve & graph inequalities00Objectives: To solve & graph inequalitiesWarm-Up:480060050419000You want to download some new songs on your MP3 player. Each song will use about 4.3 MB of space. You have 7.8 GB free of 19.5 GB. At most how many songs can you download? Explain. (Hint: 1 GB = 1000 MB)Phrases like “at most” and “at least” suggest that two quantities may not be equal. You can represent such a relationship with a mathematical inequality statement. Example 1) What inequality represents the sentence “5 fewer than a number is at least 12”?Quick Check: What inequality represents the sentence “the quotient of a number and 3 is no more than 15”?The properties you use for solving inequalities are similar to the properties you use for solving equations. However, when you multiply or divide each side of an inequality by a negative number, you must reverse or flip the inequality sign.Example 2) Solve and graph each inequality. a) 3x – 12 < 3b) -3x-4≤14320040011938000011938000c) 4p+2p+7<8d) -2x+10<-7x+53200400831850008318500e) 4x + 6 > 14f) 4 + 3(2x + 1) ≤ 1332004003175000317500Quick Check: Solve and graph each inequality1) -2x + 8 > 242) 6 + 5(2 – x) ≤ 4132004005524500-11430055245003) 8>35-b+24) -32x-5+1≥4320040016827500-11430016827500Example 3) Using an Inequalityg) You play in a pretty awesome band that gets a gig that pays $200 plus 5% of ticket sales. Find the ticket sales needed for the band to make at least $500.h) A movie rental company offers two subscription plans. You can pay $36 a month and rent as many movies as desired, or you can pay $15 a month and $1.50 to rent each movie. How many movies must you rent in a month for the first plan to cost less than the second plan?Quick Check: A digital music service offers two subscription plans. The first has a $9 membership fee and charges $1 per download. The second has a $25 membership fee and charges $.50 per download. How many songs must you download for the second plan to cost less than the first plan? ................
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