Answer:
[tex]z \leqslant - 2[/tex]
Step-by-step explanation:
1) Add 1 to both sides.
[tex]3z \leqslant - 7 + 1[/tex]
2) Simplify -7 + 1 to -6.
[tex]3z \leqslant - 6[/tex]
3) Divide both sides by 3.
[tex]z \leqslant - \frac{6}{3} [/tex]
4) Simplify 6/3 to 2.
[tex]z \leqslant - 2[/tex]
Therefor, the answer is Option C.