SOLUTION: The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear equality that dem

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Question 33234: The techniques for solving linear equations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear equality that demonstrates this difference.
Thank you so much for all your help!
Denise

Answer by kietra(57) About Me  (Show Source):
You can put this solution on YOUR website!
An example of a linear equation would be 8 = -3x - 7
To solve,
8 = -3x - 7
15 = -3x
15/-3 = x
-5 = x
For a linear equality, we can use the same equation but add a less than sign:
8 < -3x - 7
15 < -3x
15/-3 > x
-5 > x
The difference between solving equations and inequalities is evident when you are dealing with multiplying or dividing by a negative number. Otherwise, manipulation is the same.