6 1 SOLVING ONESTEP LINEAR INEQUALITIES NOTES Graph

6. 1 SOLVING ONE-STEP LINEAR INEQUALITIES

NOTES � Graph of linear inequalities: one variable is set of points on a number line representing all solutions of the inequality. � When dividing or multiplying by negative number, switch inequality sign. � Ex: -2 x < 6 -2 x > 6 -2 -2

GRAPHING INEQUALITIES � 4 Graphing Tips: �< or > open circle Ex: � ≤ or ≥ closed circle Ex: � at most or no more than = ≤ � at least = ≥

GRAPHING INEQUALITIES � x<5 � z ≥ -6 � m ≥ 12 � h < 15

GRAPHING INEQUALITIES � x < 10 � z ≥ -2 � m≥ 1 � h<5

SOLVE INEQUALITIES � n+8>3 � 10 ≥ y + 4 � x – 8 < 23 � 54 > -23 + x

SOLVE AND GRAPH INEQUALITIES � x+4<5 � z – 15 ≥ 65 � m + 8 ≥ 12 � h + 19 < 15

INEQUALITY (DIVISION) � 2 x > -8 � 5 a < 35 � -7 s ≤ 14 � 5 z ≥ -65

STUDENT EXAMPLES � 9 a < 36 � -7 s > -84 � 12 x ≤ -60 � 4 m ≥ -60 � 6 z < 66 � -16 k > 32

INEQUALITY (MULTIPLICATION) � M / -3 > 3 � T / -4 ≤ 8 � N/6<7 � A / 2 < -9

INEQUALITY (MULTIPLICATION) � B / 7 > 21 � t/9 > 12 � N / -3 ≥ -5 � c/8 ≥ 3 � d/-11 ≤ 6 � u/5 < 12

WORD PROBLEM � You need at least $15 more to buy a stereo. Write an inequality that describes how much money you need s. Graph the inequality.

WORD PROBLEM � Maria is 15 years old. Let A represent the age of Maria’s younger brother. Write and graph the inequality for A.

WORD PROBLEM � During a bitter cold week in January, the temperature in Seattle Washington, did not exceed 10 degrees. Write and graph an inequality that describes the temp. T.

WRAP UP � Questions/Comments � Hw: Text pg. 337, #’s: 8 -13, 22 -62 evens,