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