−|−7r + 4| − 8 ≥ 30

I had to solve for r, by isolating the absolute value.
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1 Answer

-|-7r+4|≥38 has no solution, because the absolute value of any quantity is always positive, which makes the left-hand side have a maximum value of zero when r=4/7. Since 0 is never greater than 38, the inequality is never true.

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