SOLUTION: Solve: 5 < t - 4 < 6 1 < t < 2 9 < t < 10

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Question 41130: Solve:
5 < t - 4 < 6


1 < t < 2

9 < t < 10
Answer by PaulAllen65270(19) About Me  (Show Source):
You can put this solution on YOUR website!
To solve inequalities like this one you need to divide it into two equations.
One equation is
t-4>5
The other equation is
t-4<6
You then need to solve both of these equations
t-4>5
+4>+4 add four to both sides which will not change the inequality sign
t > 9
Then you want to solve the other equation
t-4<6
+4<+4 again you add four to both sides which will not change the inequality sign
t < 10
Now you put these two equations back together
9 < t < 10
Which is then your complete answer. To plot this number on a number line it would be anything between 9 and 10