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How do you solve and graph #6<-2m<10#?

Answer 1

Kennedy Adams

See process below

Given #6<-2m<10#

Take the left side #6<-2m#

Multiply by -1 in both sides. The symbol "<" changes

#-6>2m#. Now divide by 2 both sides and you get #-6/2>m# or equivalent #m<-3#

Take now the rigth side #-2m<10#. Apply the same process

#2m> -10# or equivalent #m> -10/2=-5#

In summary, we have two restrictions #-5 < m < -3#

This is equivalent to interval #(-5,-3)# grafically is the segment between -5 and -3 but without both endpoints

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Answer 2

Julia Adams

To solve and graph the inequality \(6 < -2m < 10\), divide each part by \(-2\) to isolate \(m\). This gives \( -3 > m > -5\). Then graph this inequality on a number line with an open circle at \(-3\) and \(-5\) and an arrow pointing towards the middle.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and graph #6&lt;-2m&lt;10#?

How do you solve and graph #6<-2m<10#?