Answer:
[tex]x\geq 8.6[/tex]
Step-by-step explanation:
This problem requires subtraction, then division.. The first step is to add 9.5 to each side of the inequality. This isolates 6x on one side and makes the equation easier to understand:
[tex]-9.5+9.5+6x\geq 42.1+9.5\\6x\geq 51.6[/tex]
Next, you need to divide each side by 6 to get your answer:
[tex]\frac{6x}{6}\geq \frac{51.6}{6} \\x\geq 8.6[/tex]
As a little bonus tip, if you ever end up dividing each side by a negative number, you MUST reverse the sign.
