Consider these graphed number lines. 4 number lines going from negative 5 to positive 5. Graph A: closed circles are at negative
1 answer:
The graph for the solution set of the absolute value inequality is given by graph A.
<h3>What is the absolute value function?</h3>
The absolute value function is given by:
- |x| = x, x >= 0.
- |x| = -x, x < 0.
It measures the distance of a point x to the origin, which is given to x = 0.
In this problem, the inequality is given by:
|2p + 3| ≥ 7
Which means that the distance of 2p + 3 to the origin is of at least 7 units, hence 2p + 3 can be:
- Equal or less to -7.
- Equal or greater than 7.
Hence:
2p + 3≤ -7
2p ≤ -10
p ≤ -5
2p + 3 ≥ 7
2p ≥ 4
p ≥ 2
The graph is given at the end of the answer, and represented by graph A.
More can be learned about the absolute value function at brainly.com/question/24734454
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By looking at the degree of the polynomials, we conclude that the option that is not linear is option C.
<h3>Which of the following functions is not a linear function?</h3>A polynomial is an expression of the form:
Where all the exponents are natural numbers.
We define the degree of a polynomial as the largest exponent, and we define a linear function as a polynomial of degree 1.
So a linear function is of the form:
Now, if you look at option C, you can see that the degree of that polynomial is 2. So that is not a linear function.
Then the correct option is C.
If you want to learn more about linear equations:
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