Question 753898: Solve each equation or inequality . Please and thank you.
1. |y|=3
2. | n+2 | = 4
3. 4+|r+2|=7
4. |x+3|=-2
5. |3d+5| < -2
6. |2x-7| -1>0
7. 4|k+5| > 8
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! 1. |y|=3
2. | n+2 | = 4
3. 4+|r+2|=7
|r+2| = 3
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r+2 = 3
r = 1
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r+2 = -3
r = -1
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With equations, you can take that "shortcut,", but not with inequalities.
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4. |x+3|=-2
5. |3d+5| < -2
3d+5 < -2
3d < -7
d < -7/3 Answer #1
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With inequalities, you have to negate what's in the ABS
-(3d+5) < -2
3d+5 > 2 **** Note change of polarity to >
3d > -3
d > -1 Answer #2
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6. |2x-7| -1 > 0
7. 4|k+5| > 8
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I did the most complex ones. The others are similar or simpler.
I'll be glad to check your work, or answer any questions you have.
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