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1.4 Solving Inequalities. Objectives Learn to solve and graph inequalities. Learn to write and solve compound inequalities. . Properties of Inequalities.

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## 1.4 Solving Inequalities

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**1.4 Solving Inequalities**Objectives • Learn to solve and graph inequalities. • Learn to write and solve compound inequalities.**Properties of Inequalities**Properties of inequalities are the same as properties for equations EXCEPT if you multiply or divide both sides of an inequality by a negative number you must switch the inequality.**Solving and Graphing Inequalities**• Recall < and > are open circles on a number line, while ≤ and ≥ are closed/filled circles on a number line. (#1) -12 ≥ 24x (#4) 57-4x > 13**Special Cases**(#11) 6x-13 < 6(x-2) (#13) -7(3x-7) + 21x ≥ 50**Word Problems**• (#16) Find the lesser of two consecutive integers with a sum greater than 16. • (#17) A company estimates that 1% of the computer chips it produces are defective. How many chips must the company make and test in order to be able to ship at least 4500 non-defective chips?**Compound Inequalities**• Compound inequalities usually contain the word “and” (both true) or “or”(either true). • “and” (#20) 6x ≥ -24 and 9x < 54 • “or” (#22) 4x < 16 or 12x > 144**Word Problem**• (#26) A baker needs between 40 lb and 50 lb of a flour-sugar mixture that contains ten times as much flour as sugar. What are the possible weights of flour the baker can use?**Assignments**• Pg 29 #3-33 multiples of 3, #34, #41-49 all.

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