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[tex]\huge\red{\mid{\underline{\overline{\textbf{QUESTION}}}\mid}[/tex]

[tex]16x-7\leq-71[/tex]

Find the solution set of the inequality.

Response-

[tex]{\blue{16x-7\le \:-71\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-4]\end{bmatrix}}[/tex]

Add 7 to both sides

[tex]16x\leq -64\\divide\\x\leq -4[/tex]

Answer:

[tex]16x - 7 \leqslant - 71 \\ 16x \leqslant - 71 + 7 \\ 16x \leqslant - 64 \\ x \leqslant - 4[/tex]