SOLUTION: Im not sure what the OR has to do with anything for example could you explain to me how to solve x-1<-1ORx-5>-1?

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Question 165211This question is from textbook Holt Algebra 1 Texas
: Im not sure what the OR has to do with anything for example could you explain to me how to solve x-1<-1ORx-5>-1? This question is from textbook Holt Algebra 1 Texas

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To solve inequalities like this, simply solve each inequality individually



Let's solve the first inequality x-1%3C-1:


x-1%3C-1 Start with the first inequality.


x%3C-1%2B1 Add 1 to both sides.


x%3C0 Combine like terms on the right side.


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Now let's solve the second inequality x-5%3E-1:


x-5%3E-1 Start with the second inequality.


x%3E-1%2B5 Add 5 to both sides.


x%3E4 Combine like terms on the right side.


So our answer is x%3C0 or x%3E4




So the solution in interval notation is: () ()


So the solution in set notation is:




Here's the graph of the solution set




Note:
There is an open circle at x=0 which means that we're excluding that value from the solution set.


Also, there is an open circle at x=4 which means that we're excluding that value from the solution set.