How do you solve # 3(x - 4) > -2#?
Things y0u can do to both sides of an inequality without effecting the orientation of the inequality:
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To solve the inequality ( 3(x - 4) > -2 ), you would first distribute the 3, then isolate ( x ) by undoing operations in reverse order:
[ \begin{align*} 3(x - 4) & > -2 \ 3x - 12 & > -2 \ 3x & > -2 + 12 \ 3x & > 10 \ x & > \frac{10}{3} \end{align*} ]
So, the solution is ( x > \frac{10}{3} ).
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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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