What is the solution to #3(x-5)>=12#?

Answer 1

#x >= 9#

The first step is to expand the terms in parenthesis:

#3x - 15 >= 12#
Then solve for #x# while keeping the inequality balanced:
#3x - 15 + 15 >= 12 + 15#
#3x >= 27#
#(3x)/3 >= 27/3#
#x >= 9#
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Answer 2

To solve the inequality (3(x - 5) \geq 12), you first distribute the 3 to both terms inside the parentheses:

[3x - 15 \geq 12]

Next, add 15 to both sides of the inequality:

[3x \geq 12 + 15] [3x \geq 27]

Now, divide both sides by 3:

[x \geq \frac{27}{3}] [x \geq 9]

So, the solution to the inequality is (x \geq 9).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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