Question

i need help

Answer 1

@whpalmer4 can you help me

Answer 2

Probably meant to post this in the Mathematics section...

Answer 3

What would you do if you were solving \[-2x =16\]?

Answer 4

Hi,

To solve the inequality, work it like an equation to solve for x. The last step would be dividing to solve for x, right? So it has to be -2x < 16

Now, what happens when we divide -2 by 16? We get -8. Now, when we divide or multiply by a negative number our signs switch. Therefore, our final solution will be x > -8.

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Answer 5

Yes i ment to post in the math section, sorry guys and thank you both and thank you compassionate.

Answer 6

answer x<8

Answer 7

@lollymolly that's incorrect. x=-100 is a value where \(x<8\), but that does not satisfy the inequality
\[-2x < 16\]because \[-2(-100) < 16\rightarrow 200 < 16\]which is not a true statement.

Answer 8

no x<8 divide
@whpalmer4

Answer 9

No, @lollymolly you are incorrect. If you divide (or multiply) by a negative number, you must switch the direction of the inequality sign.

As I showed, \(x =-100\) is a value for which \(x < 8\). Therefore, it must make a true statement in original if your transformation is correct. However, it does not:

\[-2(-100) < 16\]\[200 < 16\]is not true. Therefore, your transformation of the inequality is incorrect.

The correct answer is \[x > -8\], as the other poster stated.