Calculate: номер

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Expression: $|\frac{ x+3 }{ 5 }| \leq -4$

Use $|\frac{ a }{ b }|=\frac{ |a| }{ |b| }$ to transform the expression

$\frac{ |x+3| }{ |5| } \leq -4$

The absolute value of any number is always positive

$\frac{ |x+3| }{ 5 } \leq -4$

Multiply both sides of the inequality by $5$

$|x+3| \leq -20$

The statement is false for any value of $x$ because the absolute value function is always positive or $0$

$∅$

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