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Step 1: Write the quadratic inequality in standard form.
This quadratic inequality is already in standard form.
Step 2: Solve the quadratic equation,
, by factoring to get the boundary point(s).
5(x-2)(x+0.6)
x = 2, -0.6
2and -0.6 are boundary points.
Step3:
''''''' -0.6 '''''''''''''' '' 2
-------|-------|----------|------
Note that the two boundary points create three sections on the graph:(-inf,-0.6),(-0.6,2)and (2,inf)
Step 4: Find the sign of every factor in every interval.
Since we are looking for the quadratic expression to be greater THAN 0, that means we need our sign to be positive
x<-0.6 or x>2
(