Solve 5x² - 6x - 3 ≤ |8x|
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Solve 5x² - 6x - 3 ≤ |8x|

[From: ] [author: ] [Date: 12-03-05] [Hit: ]
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Since 1 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 1 from both sides.
x=-1_5x-3=0

Set each of the factors of the left-hand side of the inequality equal to 0 to find the critical points.
x=-1_5x-3=0

Since -3 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3 to both sides.
x=-1_5x=3

Divide each term in the equation by 5.
x=-1_x=(3)/(5)

Since this is a 'less than 0' inequality, all intervals that make the expression negative are part of the solution.
-1<=x<=(3)/(5)

The solution to the inequality includes both the positive and negative versions of the absolute value.
-(1)/(5)<=x<=3 or -1<=x<=(3)/(5)
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