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Anettt [7]
3 years ago
7

Which of these ordered pairs is a solution to the inequality

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0
The answer is ( 15, 0 )

If we plug in points into the equation and then solve the equation this would give us the answer. For the points the first step is to know that a point is ( X, Y), this is the same letters in the equation y < x + 1. After this you plug in your points.
We then look at which way the arrow in the middle is pointing. Which ever one it is pointing at should be the lowest number. If the arrow is pointing at the highest number than the equation is false, but if it is pointing at the lowest number it is correct.

(X, Y )
( 15,0 )
Y< X + 1
0 < 15 + 1
0 < 16
Zero is less than 16, so this is right.

( X, Y )
( 0, 1 )
Y< X + 1
1 < 0 + 1
1 < 1
One is not less than one, so this is wrong.

( X, Y )
( -5, 0)
Y< X +1
0 < -5 + 1
0 < -4
Zero is less than negative four, so this is wrong.

( X, Y )
( -2, 5 )
Y < X + 1
5< -2 + 1
5 < -1
Five is not less than negative one, so this is wrong.

The only answer is ( 15, 0 )


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Step-by-step explanation:

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Answer:

Alternative hypothesis:\mu_1 -\mu_2 \neq 0

Or in the alternative way would be:

 Alternative hypothesis:\mu_1 \neq \mu_2

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

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Null hypothesis:\mu_1 -\mu_2 = 0

This null hypothesis can be expressed like this:

Null hypothesis:\mu_1 = \mu_2

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Or in the alternative way would be:

Alternative hypothesis:\mu_1 \neq \mu_2

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