How do you solve and graph #5n-1< -16# or #-3n-1<8#?

Answer 1

#n<-3#

#5n-1<-16# #5n<-15# #n<-3# #-3n-1<8# #-3n<9# #n<-3# graph{-3x^0 [-10, 10, -5, 5]}
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Answer 2

To solve and graph the compound inequality 5n - 1 < -16 or -3n - 1 < 8, first solve each inequality separately:

For the first inequality, 5n - 1 < -16: Add 1 to both sides: 5n < -15 Divide both sides by 5 (since 5 is positive, the inequality sign remains the same): n < -3

For the second inequality, -3n - 1 < 8: Add 1 to both sides: -3n < 9 Divide both sides by -3 (since -3 is negative, the inequality sign reverses): n > -3

So, the solution to the compound inequality is -3 < n < -3. To graph this on a number line, draw an open circle at -3 (since it's not included in the solution) and shade the region between the two open circles.

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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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