Which of the following is the correct graph of the solution to the inequality -13 > -5x +2 > -28

   see below

Step-by-step explanation:

The inequalities do not include the "or equal to" case, so the circles will be open circles. If you remove the middle portion of the inequality, it is true that ...

  -13 > -28

so the solution will be a single open interval. (If it were -13 < -28, we would know the solution is two disjoint sets, because no value of x will be both greater than -13 and less than -28.)

The only graph of a single open interval is the one shown below.

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If you feel compelled to check this choice, you can add -2 to the inequality and get ...

  -15 > -5x  > -30

Now, you can divide by -5, which requires the comparisons be reversed (since -5 is negative).

  3 < x < 6

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step-by-step explanation: