1. Solving inequalTies (adding & subtracting) JAMES SALTMARSHALL & E’LYSE VAUGHN

2. BASIC RULES TO ADDING AND SUBTRACTING  STEP# 1 – First solve the equation where the variable is on one side of the sign.  STEP# 2- Next draw a number line where your answer on the other side is in the middle.  STEP# 3-Then look at the sign to see if the circle is closed or open.  If the sign is less than or greater than the circle is open.  If the sign is a less than or equal to and/or the sign is greater than or equal to the circle is closed.

3. Practice Problems  X+20 < 35  Y+ 25 > 50  J + 16 > 32  E + 30 < 45  20 < v + 15  A – 60 < 10  B – 15 > 30   C – 20 > 20   K – 20 < 60   5 > d - 5

4. Summary tool Solve inequalities by adittion and subtraction T-45 < 13 original inequality t-45 + 45 < 13 + 45 add 45 to each side t < 58 simplify check – to substitute a number less than 58, and a number greater than 58 The solution is the set {all numbers less than or equal to 58} 54 55 56 57 58 59 the heavy arrow pointing to the dot at 58 shows that 58 is included left shows that the inequality in the inequality. includes all numbers less than 58

5. Answers  X+20 < 35 -20 -20 -20 -20 x < 15 x < 15 14 15 16 14 15 16

6.  Y+ 25 > 50 - 25 -25 - 25 -25 y > 25 y > 25 24 25 26 24 25 26

7.  J + 16 > 32 - 16 -16 - 16 -16 j > 16 j > 16 15 16 17 15 16 17

8.  E + 30 < 45 - 30 -30 - 30 -30 e < 15 e < 15 14 15 16 14 15 16

9.  20 < v + 15 -15 - 15 -15 - 15 5 < v 5 < v 4 5 6 4 5 6

10. Subtracting  A – 60 < 10 + 60 +60 + 60 +60 a < 70 a < 70 69 70 71 69 70 71

11.  B – 15 > 30 + 15 + 15 + 15 + 15 b > 45 b > 45 44 45 46 44 45 46

12.   C – 20 > 20 +20 +20 c > 40 39 40 41

13.   K – 20 < 60 +20 +20 k < 80 79 80 81

14.   5 > d-5 +5 +5 10 > d 9 10 11

15. resources   http://www.math- play.com/InequalityGame.html http://www.math- play.com/InequalityGame.html   http://www.purplemath.com/module s/ineqsolv2.htm http://www.purplemath.com/module s/ineqsolv2.htm   www.algebra1.com