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Answer :

x ≤ -2

Step-by-step explanation:

[tex]\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}[/tex]