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How do you solve the inequality #4p-8<7-p#?

Answer 1

Isaiah Anthony

#p<3#

First, let's simplify the inequality: #4p-8<7-p#

Add #p# to both sides and add #8# to both sides: #5p<15#

Last, divide both sides by #5#: #p<3# (Note: since you didn't divide by a negative, you don't have to flip the sign!)

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Answer 2

Jameson Allen

To solve the inequality 4p - 8 < 7 - p, first add p to both sides to consolidate the variable terms:

4p + p - 8 < 7

Next, combine like terms:

5p - 8 < 7

Now, add 8 to both sides:

5p < 7 + 8 5p < 15

Finally, divide both sides by 5 to solve for p:

p < 15 / 5 p < 3

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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 the inequality #4p-8&lt;7-p#?

How do you solve the inequality #4p-8<7-p#?