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

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.

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

Summary tool Solve inequalities by adittion and subtraction T-45 < 13 original inequality t < 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} 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

Answers  X+20 < x < 15 x <

 Y+ 25 > y > 25 y >

 J + 16 > j > 16 j >

 E + 30 < e < 15 e <

 20 < v < v 5 < v

Subtracting  A – 60 < a < 70 a <

 B – 15 > b > 45 b >

  C – 20 > c >

  K – 20 < k <

  5 > d > d

resources   play.com/InequalityGame.html play.com/InequalityGame.html   s/ineqsolv2.htm s/ineqsolv2.htm  