Respuesta :
The option that explains whether the student is correct is D. The student is completely incorrect because there is β no solution β to this inequality.
What is an inequality?
It should be noted that inequality simply means the relation between two expressions that aren't equal.
In this scenario, the given inequality is |x - 9| < -4. Based on the solution of the student, the student is completely incorrect because there is β no solution β to this inequality.
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The student is partially correct because the student should have written the statements using βorβ instead of βand.β
Calculation of the inequality equation
The inequality equation that was given =
[x-9]< - 4
Which was further broken down to become;
X - 9 > 4 and x - 9 < - 4
The simplification of X - 9> 4 = X>13;
and x - 9 < - 4= X<5.
Therefore the the student should have written the statements using βorβ instead of βand.β because the signs of the inequality is completely different. (one is greater than while the other is less than)
Learn more about inequality here:
https://brainly.com/question/24372553
#SPJ1