Answer:
x < -2
Step-by-step explanation:
2|x| > 3x + 10
Divide both sides by 2.
|x| > 1.5x + 5
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An absolute value inequality of the form
|X1| > X2
where X1 and X2 are expressions in x is solved by solving the compound inequality
X1 > X2 or X1 < -X2
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Back to your problem.
|x| > 1.5x + 5
x > 1.5x + 5 or x < -(1.5x + 5)
-0.5x > 5 or x < -1.5x - 5
x < -10 or 2.5x < -5
x < -10 or x < -2
Since x < -10 is included in x < -2, the solution is
x < -2
