Answer: Every option given is a solution
Any value larger than 18 is a solution. So we can say x > 18.
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Step-by-step explanation:
To isolate x, we multiply both sides by 6 like so
3 < x/6
3*6 < x
18 < x
x > 18
In the last step, I swapped the left and right sides. This swap meant that I had to flip the inequality sign as well. Saying x > 18 means we can pick anything larger than 18 to have it as a solution. Something like x = 5 is too small, but values like x = 24 and x = 96 will work. In fact, all of the answer choices given are larger than 18. So you'll check each answer box.
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As a way to confirm a potential answer, we plug it back into the original inequality. Let's say we wanted to check x = 90
So,
3 < x/6
3 < 90/6 ... replace every x with 90
3 < 15
The last inequality is true, because 3 is indeed smaller than 15. Therefore, the original inequality is true when x = 90. We confirm that x = 90 is a solution.
The steps to confirm x = 114, x = 96, and x = 24 will follow the same idea. I'll let you do those confirmations.