Well, I am going to answer anyway.
\(5x-(6-x)\) | Distribute the nagative sign to all terms inside of the parentheses. |
\(5x-6+x\) | Combine any like terms. |
\(6x-6\) | That's about all you can do. You can factor out a 6, if you'd like. |
\(6(x-1)\) | You could also leave it like it was above. |
Absolute value inequalities are not that simple! You can't simply just ignore them.
\(|0.7x+5|>6.7\) | The absolute value always splits your answer into the positive and negative answer. | ||
| Now that the absolute value has been accounted for, we should now solve for x in both equations. | ||
| Dividing by -1 causes a flipflop of the inequality sign. | ||
| Subtract 50 on both sides. | ||
| Divide by 7 on both sides. | ||
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This is your answer. Since the greater than symbol will cause an "or" statement, we know that solutions are the following:
\(x>\frac{17}{7}\hspace{1mm}\text{or}\hspace{1mm} x<-\frac{117}{7}\)
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