SOLUTION: Solve the inequality. State the solution set in interval notation and sketch its graph. 1/6 - 1/3t > 0

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Question 134247: Solve the inequality. State the solution set in interval notation and sketch its graph.
1/6 - 1/3t > 0
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given inequality



Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



Distribute and multiply the LCM to each side



Subtract 1 from both sides


Combine like terms on the right side


Divide both sides by -2 to isolate t (note: Remember, dividing both sides by a negative number flips the inequality sign)



Reduce

--------------------------------------------------------------
Answer:
So our answer is (which is approximately in decimal form)




So the answer in interval notation is


And here's the graph of


Graph of with the shaded region in blue

note: at the point , there is an open circle. This means the point is excluded from the solution set.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!




……………….interval: [,)
draw dashed line, and shade evrithing above the line
Solved by pluggable solver: PLOT any graph
Graphing function :



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