SOLUTION: Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?

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Question 632476: Can a linear equation and a linear inequality be solved in the same way? Explain why. What makes them different?

Found 2 solutions by jim_thompson5910, GFeliz:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
They can be solved in the same way. The only difference is that when you multiply or divide both sides by a negative number, then the inequality sign will flip.


Note: you can think of the equation sign flipping as well if you want (to stay consistent) since flipping the equation sign goes from = to = (and it doesn't change)

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Answer by GFeliz(4) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, we solve linear inequalities the same way we solve linear equations.
When solving a linear equation, the answer obtained is called the solution.
When solving an inequality, the answer is
called the solution set. I hope this helps.
If not, write back.