LINR 2| Lesson 2| Mixed Practice Solving Inequalities Solution

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.

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