# Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 7

$3, 5$

#### Work Step by Step

Add 4 to each part of the inequality: $1+4 \lt 2x-4+4 \le 7+4 \\5 \le 2x \lt 11$ Divide $2$ to each part of the inequality: $\dfrac{5}{2} \lt \dfrac{2x}{2} \lt \dfrac{11}{2} \\2.5 \lt x \lt 5.5$ Thus, the elements of $S$ that satisfy the inequality are: $3, 5$

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