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Solve the inequality: 13 < 4x + 1 ≤ 29

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps

To solve the inequality 13<4x+1≤2913 < 4x + 1 \leq 29, we need to isolate xx in the middle.

  1. Subtract 1 from all parts of the inequality.

    13−1<4x+1−1≤29−113 - 1 < 4x + 1 - 1 \leq 29 - 1 12<4x≤2812 < 4x \leq 28
  2. Divide all parts of the inequality by 4.

    124<4x4≤284\frac{12}{4} < \frac{4x}{4} \leq \frac{28}{4} 3<x≤73 < x \leq 7

    The solution to the inequality is 3<x≤73 < x \leq 7.

    3<x≤7\boxed{3 < x \leq 7}
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