Solve
Step
–3 < 2 – 2x < 12
-3 – 2 < 2 – 2 – 3x < 12 – 2
–5 < – 2x < 10
5/2 > x > -5
-5 < x < 5/2
(-5, 5/2)
Graph
This means x has to be between -5 and 5/2 (x could not
be -5 or 5/2 because of the < symbol)
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Solve |
Step |
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Multiply all 3 parts by 3 |
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Notice the 3's cancel |
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–3 < 2 – 2x < 12 |
Now the denominator is gone! |
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-3 – 2 < 2 – 2 – 3x < 12 – 2 |
Subtract 2
from each part |
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–5 < – 2x < 10 |
Look! If we divide by a negative we have to reverse the inequality signs |
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Divide all parts by -2. This is the step where the symbols get reversed. |
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5/2 > x > -5 |
Rewrite so we go from smallest to largest value |
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-5 < x < 5/2 |
Inequality Notation |
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(-5, 5/2) |
Interval Notation |
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Graph |
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This means x has to be between -5 and 5/2 (x could not
be -5 or 5/2 because of the < symbol) |
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