By McGraw-Hill Education

This system scholars want; the point of interest lecturers wish! Glencoe Algebra 2 is a key software in our vertically aligned highschool arithmetic sequence constructed to aid all scholars in attaining a greater figuring out of arithmetic and increase their arithmetic rankings on today’s high-stakes checks.

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**Sample text**

CARNIVAL GAMES Julian will win a prize if the carnival worker cannot guess his weight to within 3 pounds. Julian weighs 128 pounds. Write an equation to find the highest and lowest weights that the carnival guesser can guess to keep Julian from winning a prize. (Lesson 1-4) 1-5 Solving Inequalities Main Ideas • Solve inequalities with one operation. Kuni is trying to decide between two rate plans offered by a wireless phone company. • Solve multi-step inequalities. *>Ê£ *>ÊÓ fÎx°ää fxx°ää ÕÌiÃÊVÕ`i` {ää Èxä ``Ì>ÊÕÌiÃ {äZ ÎxZ Ì ÞÊVViÃÃÊii New Vocabulary set-builder notation To compare these two rate plans, we can use inequalities.

Compound inequalities involving the word or are called disjunctions. “And” Compound Inequalities Vocabulary Link Intersection Everyday Use the place where two streets meet Math Use the set of elements common to two sets Words A compound inequality containing the word and is true if and only if both inequalities are true. Example x ≥ -1 Ϫ4 Ϫ3 Ϫ2 Ϫ1 0 1 2 3 4 Ϫ4 Ϫ3 Ϫ2 Ϫ1 0 1 2 3 4 Ϫ4 Ϫ3 Ϫ2 Ϫ1 0 1 2 3 4 x<2 x ≥ -1 and x < 2 Another way of writing x ≥ -1 and x < 2 is -1 ≤ x < 2. Both forms are read x is greater than or equal to -1 and less than 2.

2c = c2 - 4 Open sentences are neither true nor false until the variables have been replaced by numbers. Each replacement that results in a true sentence is called a solution of the open sentence. Properties of Equality To solve equations, we can use properties of equality. Some of these properties are listed below. Properties of Equality Property Vocabulary Link Symmetric Everyday Use having two identical sides Math Use The two sides of an equation are equal, so the sides can be switched. Symbols Examples Reflexive For any real number a, a = a.