SAT Math Question?

Which of the following accurately defines all possible values of p-q if 15≤p≤30 and 7≤q≤19?

The answer is -4≤(p-q)≤23, but I'm not sure how.

Thank you!

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  1. p-q is largest if p is big and q is small:

    p-q <= 30-7 = 23

    similarly,

    p-q >= 15-19 = -4

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