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How do you solve and graph #-1<2b<8#?

Answer 1

Ethan Adkins

Division of all terms of an inequality by any positive value does not effect the orientation of the inequality.

Therefore
#color(white)("XXXX")##-1<2b<8#
is equivalent to
#color(white)("XXXX")##-1/2<b <4#

Graphed on a number line:

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Answer 2

Kennedy Adams

To solve and graph the inequality -1 < 2b < 8:

Divide all parts of the inequality by 2 to isolate the variable b: -1/2 < b < 4
Graph the solution on a number line with an open circle at -1/2 and 4, indicating that the endpoints are not included in the solution set. Then draw a line segment between -1/2 and 4 to represent all values of b that satisfy the inequality.

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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 #-1&lt;2b&lt;8#?

How do you solve and graph #-1<2b<8#?