Solve for x:
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Solve for x: |
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Solve |
Step |
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Since zero is already on one side, just factor the numerator. |
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(x + 2)(x – 2) = 0 gives x = 2, -2 |
Clearly, 2 and -2 are not solutions. |
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Cannot divide by zero |
Since division by zero is undefined |
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x + 5 = 0 gives x = -5 |
This is allowed since we can have zero in the numerator |
| Since this an inequality, we expect more solutions. | |
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The possible solutions are broken up into these intervals |
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Use -6, -3, 0, and 3 |
Pick points in these intervals to see if they work. | |
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Test Points |
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| if x = -6, then TRUE So (–¥, –5] works. |
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| if x = -3, then FALSE So [–5 –2) fails. |
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| if x = 0, then TRUE So (–2, 2) works. |
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| if x = 3, then FALSE So (2, ¥) fails. |
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( -¥,
-5] È (–2, 2) |
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