Question

Can someone help me answer this question?

Answer 1

-6 to 6, you have to multiply those two numbers, take away, etc. this isn’t a good explanation! sorry.

Answer 2

-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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