Jack's solution of the given inequality is correct. The solution is
x ≤ 1/2 or x ≤ - 1/2.
"In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions."
The given inequality is:
|6x| + 3 _< 0
⇒ |6x| ≤ - 3
⇒ 36x² ≤ 9
⇒ x² ≤ 9/36
⇒ x² ≤ 1/4
⇒ x ≤ ± 1/2
⇒ x ≤ 1/2 or x ≤ - 1/2
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