Chapter 1, Equations and Graphs - Section 1.7 - Solving Inequalities - 1.7 Exercises - Page 148: 17

$(-\infty, -\frac{1}{2})$ Refer to the image below for the graph.

Work Step by Step

Subtract $1$ on both sides to obtain: $2x \lt -1$ Divide by $2$ on both sides. $x \lt -\frac{1}{2}$ The solution set is the set of real numbers less than $-\frac{1}{2}$. In interval notation, the solution set is: $(-\infty, -\frac{1}{2})$ To graph this inequality, plot a hole (or hollow dot) at $x=-\frac{1}{2}$ then shade the region to its left. (refer to the attached image in the answer part)

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