Which of the following is the correct graph of the solution

 

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1 Answer

-8≥-5x+2>-38, -10≥-5x>-40, -2≥-x>-8.

So we have -2≥-x, x≥2, and -x>-8, 8>x as the two conditions. This can be written as a combination inequality: 2≤x<8. On a number line x is between 2 and 8, including 2 but excluding 8. That’s the interval [2,8), closed on the left and open on the right.

Select the picture that most resembles the one above. Note the endpoints: the left endpoint is a closed (filled-in) circle, but the right endpoint is an open circle.

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