Correct notation for inequality equation. Let's consider this equation: -x^2+7x<10

Demarion Ortega

Demarion Ortega

Answered question

2022-11-15

Correct notation for inequality equation. I'm currently taking a Polynomial functions -course and learning about quadratic inequality equations.
Let's consider this equation:
x 2 + 7 x < 10
The correct answer to this according to our book is simply
x < 2 or x > 5
But is there any other way to express this in a more mathematical way? I understand why this is expressed the way it is as we haven't learned about set theory yet, but I'd like to know how it is expressed "correctly".

Answer & Explanation

Aedan Hatfield

Aedan Hatfield

Beginner2022-11-16Added 16 answers

Step 1
Write it as
x ( , 2 ) ( 5 , )
or
x R [ 2 , 5 ]
Step 2
or
x { x : x < 2 , x > 5 , x R }

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