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fredd [130]
3 years ago
6

Solve −x−6≤−3 or −4x+3>−1 and write the solution in interval notation.

Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0
[-3,1)

-x-6<_-3 add 6 both sides
-x<_3 divide by negative 1 which means sign switches
x>_-3

-4x+3>-1 subtract 3 both sides
-4x>-4 divide by negative 4 which means sign switches
x<1

1 is the greater bound meaning x can’t be larger than 1

the sign doesn’t include 1 so it’s the parenthesis in interval notation

-3 is the lower bound meaning x can’t be -3 or less than -3 so the interval notation is

The sign includes -3 so it’s brackets in interval notation
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<em>Additional comment</em>

We leave out pairs with letters previous, because you've said KL is the same as LK, and KL has already been listed. The problem with this list is that it misstates the probabilities of randomly obtaining a given pair. It is not 1/15, but is 2/25 for all but letter duplicates. For duplicates (KK), the probability is 1/25, not 1/15.

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