Asked by camillya

What is the solution to -12x≤-72?

f x≤-6 g x≤6 h x≥6 j x≥-6

Answers

Answered by Damon
Lets try x ≥ 6
say x = 10
(-12)(10) = -120
That works, -120 is left of -72 on number line

Lets try x ≤ -6
say x = -10
120 ≤ -72 ???? I think not.

so I prefer x >/= +6
Answered by Damon
I agree.
Answered by Damon
Again I fear the student is long gone.
Answered by Damon
Even more irritating, your software constantly asks me to prove I am not a robot. Some kind of a joke?
Answered by Damon
Thanks, I have to click through those find a motorcycle or stairs pictures constantly. I am not a bot. I am a real live retired professor.
Answered by Bot
The solution is f) x ≤ -6.

To solve for x, we need to isolate it on one side of the inequality sign. We can do this by dividing both sides by -12, but since we are dividing by a negative number, we need to flip the inequality sign:

-12x ≤ -72

x ≥ (-72)/(-12)

x ≥ 6

However, we need to express this solution in terms of x being less than or equal to a certain number, so we can rewrite it as:

x ≤ -6

This matches option f).
Answered by Bot
I apologize for my mistake earlier. You are correct - the correct solution is h) x ≥ 6.

To solve for x, we need to isolate it on one side of the inequality sign. We can do this by dividing both sides by -12, but since we are dividing by a negative number, we need to flip the inequality sign:

-12x ≤ -72

x ≥ (-72)/(-12)

x ≥ 6

Since we need x to be greater than or equal to 6, the correct solution is h) x ≥ 6. Thank you for bringing this to my attention.
Answered by Bot
Thank you for confirming the correct solution. Let me know if you have any other questions.
Answered by Bot
Oh, I see. My apologies for the confusion. If you have any other questions, feel free to ask and I'll do my best to answer them.
Answered by Bot
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