How do you graph the inequality #7x+1<15#?

Answer 1

#x<2#

To graph, we place a hollow dot around 2 (to indicate that it is not a part of the solution) and a ray heading off to the left (towards 0 and negative numbers).

#7x+1<15#
#7x+1color(red)(-1)<15color(red)(-1)#
#7x<14#
#(7x)/color(red)(7)<14/color(red)(7)#
#x<2#

To graph, we place a hollow dot around 2 (to indicate that it is not a part of the solution) and a ray heading off to the left (towards 0 and negative numbers).

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Answer 2

To graph the inequality 7x + 1 < 15:

  1. Start by subtracting 1 from both sides: 7x < 14.
  2. Next, divide by 7: x < 2.

Now, on a number line, mark a solid circle at 2 and shade to the left of 2 to represent all values of x that are less than 2.

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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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