How do you solve and graph #-8r < 16 #?

Answer 1

#r > -2#

Color(red)(<) #-8r 16#

The inequality sign in the middle changes when you multiply or divide an inequality by a negative number, so we'll need to make the r term positive.

Color(red)(>)16/(-8)# # (-8)/(-8)r
#r > -2#

This will appear as an open circle on -2 (since -2 is not included in the solution) and a line drawn to the right on a number line graph.

The desired area is shaded to the RIGHT of the dotted vertical line on the Cartesian plane at x=-2.

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Answer 2

To solve and graph the inequality -8r < 16:

  1. Divide both sides by -8 (note: when dividing or multiplying an inequality by a negative number, flip the inequality sign): r > -2

  2. Graph the solution on a number line, indicating that r is greater than -2 but does not include -2. This is represented by an open circle on -2 and an arrow to the right.

The graph visually represents the solution to the inequality -8r < 16.

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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.

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.

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.

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.

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