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GrogVix [38]
3 years ago
8

Determine which elements of S satisfy the inequality

Mathematics
1 answer:
kumpel [21]3 years ago
4 0

Answer:

The elements of S-block elements are 14, so therefore to create an inequality model we declare S to be the unknown variable.

therefore since we have 14 elements we use an inclusive class interval from 1-14. the model is given as

1≤S≥14

Step-by-step explanation:

you have to declare variables before for the unknowns.

you also declare the class interval to be inclusive class interval or exclusive class interval.

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5x^2+22x-12         x cannot be -5, -4, -2

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Step-by-step explanation:

In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:

x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)

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Now that you have factored out the two quadratics, plug them into the equation.

    5x        -       3

(x+4)(x+2)      (x+5)(x+2)

Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.

5x (x+5)             -           3(x+4)  

(x+5)(x+4)(x+2)      (x+5)(x+4)(x+2)

Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:

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 (x+5)(x+4)(x+2)               (x+5)(x+4)(x+2)

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(4x - 4) - 3 simplified = 4x -7
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