3 years ago

Solve -9 <4x+3 11.

Mathematics

1 answer:

Dvinal [7]3 years ago

7 0

Answer:

c) x > -3 or x ≤ 2

Step-by-step explanation:

We are asked to solve this algebraic expression

-9 < 4x+3 ≤ 11.

We have two parts:

a) -9 < 4x+3

b) 4x+3 ≤ 11

For

a) -9 < 4x+3

Subtract 3 from both sides

-9 - 3 < 4x + 3 -3

-12 < 4x

-12/4 < x

-3 < x

x > -3

b) 4x+3 ≤ 11

Subtract 3 from both sides

4x + 3 -3 ≤ 11 - 3

4x ≤ 8

x ≤ 8/4

x ≤ 2

Hence, our answer is

x > -3 or x ≤ 2

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What type of correlation/association exists?

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Answer:

Negative Correlation

Step-by-step explanation:

there is a negative correlation between the number of hours you sleep in and the number of hours you are awake during the day as the longer you are either awake or asleep the less time you will be doing the other thing

Here is a graph I made that will hopefully help you understand.

Even if I switched around the label for the x or y-axis, the correlation would still remain the same because the more you stay asleep, the less you will be awake and vice versa.