It is stated that their are closed circles on -4 and 3. This means, both -4 and 3 are also included in the interval.
The following regions are included in the range:
a) -4
b) Numbers between -4 and 3
c) 3
d) Numbers greater than 3
So, the number line represents:
x greater than or equal to -4 and x less than or greater to 3.
Therefore, the first option gives the correct combined inequality.
Bb Bg Gg Gb
Makes it a 1 of 4 probability
Answer:
I think yes but I'm not 100% sure to be honest
Answer:
4
Step-by-step explanation:
5 + 3/1 + 1 =
8/2 =
4/1 =
4
This is because of slope formula which is x-x/y-y
The inequality that represents the range of k so that inequality 1 has real solution is -3 < k < 5
<h3>How to determine the range?</h3>
<u>Inequality 1</u>
x^2 + (k + 1)x + k + 4 > 0
The discriminant is calculated using
D = b^2 - 4ac
So, we have:
D = (k + 1)^2 - 4 * 1 * (k + 4)
Evaluate
D = k^2 + 2k + 1 - 4k - 16
This gives
D = k^2- 2k - 15
Factorize the equation
D = (k+ 3)(k -5)
Solve for k
k = -3 and k = 5
Express the k values as inequalities
-3 < k < 5
<u>Inequality 2</u>
The inequality cannot be read, because of the image quality
Read more about discriminant at:
brainly.com/question/7784687
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