Writing a two-column algebraic proof

Question: What is the justification for each step in solving the inequality? 2x+23≤3x−56 Select from the drop-down menus to correctly justify each step.
What is the justification for each step in solving the inequality?2x+23≤3x−56Select from the drop-down menus to correctly justify each step. 
StatementReason

2x+23≤3x−56
Given

2x≤3x−32
Choose...Multiplication or Division Property of OrderDistributive PropertyAddition or Subtraction Property of Order

−x≤−32
Choose...Addition or Subtraction Property of OrderDistributive PropertyMultiplication or Division Property of Order

−x−1≤−32−1
Choose...Addition or Subtraction Property of OrderDistributive PropertyMultiplication or Division Property of Order

x≥32
Choose...Addition or Subtraction Property of OrderDistributive PropertyMultiplication or Division Property of Order

 

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Answered By:

Richard C.
Confidence-building Geometry tutor with 18 years experience

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