Graph and Solve One-Step Inequalities

Addition and Subtraction

• An Inequality is a mathematical sentence

• Uses symbols, such as <, ≤, >, ≥, or ≠ to compare to quantities.

  
  

• Remember: Inequalities can be read in either direction....

• As long as you use the correct vocabulary for the symbol.

• Remember!!!

• Solving one-step inequalities is much like solving one-step

  equations.

• To solve an inequality, you need to isolate the variable using the

  properties of inequalities and inverse operations.

• To find the solution, isolate the variable x.

  
  

• Remember, it is isolated when it appears by itself on one side of the inequality.

  
  

• Step 1: Since 6 is added to x and subtraction is the inverse of

  addition, subtract 6 from both sides to undo the addition.

• Step 2: Decide whether or not the circle on your boundary

  should be open or closed based on the symbol used.

• You can check the computation by substituting the end point

  of 6 into the inequality for x.

• In this case, the end point is not included (open circle) since x < 6.