Answer
No solution.
Work Step by Step
$|-4x|+|-5|\leq1$ Simplify
$|-4x|+5\leq1$ Isolate the absolute value.
$|-4x|+5-5\leq1-5$ Subtract 5 from both sides.
$|-4x|\leq-4$
The statement is false for any value of x, so no solution.
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