Question

40 points to whoever can answer for me!

Answer 1

Answer:

x≤-3      2 ≤x<7  

Step-by-step explanation:

(x^2+x-6) /(x-7) ≤0

Factor the numerator

(x+3)(x-2) / (x-7)≤0

Critical points are

X =-3  X =2  X=7

We need to check the values when

x≤3  -3 ≤ x≤2           2 ≤x<7   x>7  

(x cannot be 7 because then the denominator is zero)

and see when it is less than 0

Substitute a value in and see if factor is positive or negative

x≤-3

(negative)(negative) / (negative) =   negative

-3 ≤x≤2    

(positive)(negative) / (negative) = positive  this range does not work

      2 ≤x<7  

(positive)(positive) / (negative) = negative

x>7

(positive)(positive) / (positive)

Answer 2

Answer:

The second option is the correct answer.

Thank you.

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