1. \( 2(x – 2) ≥ 17-x\)
\(2x – 4 ≥ 17 – x\)
\(3x ≥ 21\)
\( x ≥ 7\)
2. \(2 – x ≤ 5x + 14\)
\(2- 6x ≤ 14\)
\(-6x ≤ 12\)
\(x ≥ -2\)
3. \(|2x – 3|≥ 7\)
\(2x – 3 ≥ 7\) or \(2x – 3 ≤ -7\)
\(x ≥ 5\) or \(x ≤ -2\)
4. \(|7 – x| ≤ 5\)
\(7-x ≥ -5\) pr \( 7 – x ≤ 5\)
\(2 ≤ x ≤ 12\)
5. All real values of \(x\)
6. \(300 + 15x ≥ 500\)
\(15x ≥ 200\)
\(x ≥ 13\frac{1}{3}\)
so it will take 14 weeks to have at least $500.