Answer:
-6 to 6, or (-6, 6) or -6 < x < 6
Explanation:
You want to know the range of -3x if -2 < x < 2.
Multiply
The given inequality can be multiplied by -3 to find the limits on -3x. When multiplying by a negative number, the inequality symbols need to be reversed.
-2 < x < 2
-2(-3) > -3x > 2(-3)
6 > -3x > -6
The range of -3x is ...
- English: between -6 and 6, not inclusive
- Interval: (-6, 6)
- Inequality: -6 < x < 6
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