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  • How To Solve Inequalities
  • So class, today we will be learning about equations and inequalities. This is how you solve them......... Remember we have a quiz on Friday!
  • How To Solve Equations and Inequalities
  • This is easy.
  • I don't understand
  • By: Anika Karthik
  • Sure. How much do you know about the subject?
  • Sam's Tutoring Biz
  • Hi Sam! I was wondering if you could help me understand and solve equations and inequalities.
  • Hello! Welcome to Sam's Tutoring Biz. How may I help you?
  • Not too much.
  • How To Solve Equations
  • After isolating the variable, look at the operation used. Then, use the inverse operation to solve for the answer. Remember, in equations there is only one answer while in an inequality there is a large range of answers. An example of an equation is -14x= 56. The answer would be -4.
  • The first step to solving an equation or inequality is isolating the variable.
  • Solving inequalities is similar to solving equations. Remember isolating the variable is a key step for both solving equations and inequalities. Then, look at the operation used and use the inverse operation. An inequality has various answers. An example of an inequality is 14x<-15. X is equal to -2 because 14 times -2 is -28. 
  • 1.  How many packs laundry detergent can Sally buy with fifty dollars if one pack costs five dollars? 5x=50 x=50/5 x=10 2. Bob's goal is to have more than in his savings by the end of the month. The variable x represents the amount of money he has at the end of the month. x>5
  • Now let's practice.
  • The last thing you need to know is how to graph inequalities
  • To graph inequalities there are important factors that you have to remember. First is the number line itself. If the arrow is pointing toward left it means x is less than the value, if it is pointing towards the right then x is greater than the value.
  •  -7 The inequality is x<-7
  • Then, there comes the circle in the middle. If it is a closed circle, then it means that the value is greater than or equal to or less than or equal to. If it is closed then it is greater than or less than. 
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