## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 1, Equations and Graphs - Section 1.1 - The Coordinate Plane - 1.1 Exercises: 14

#### Answer

Refer to the image below for the sketch.

#### Work Step by Step

RECALL: The point $(x, y)$ has: $x$ = directed distance of the point from the y-axis (negative when to the left of the y-axis, positive when to the right) $y$ = directed distance of the point from the x-axis (negative when below the x-axis, positive when above) Thus. the set $\left\{(x, y)|0 \le y \le 2\right\}$ represents the set of points whose y-values are between $0$ and $2$ including $03$ and $2$ . These points are found in the region between the horizontal lines $y=0$ and $y=2$. Since the points on the lines are included, the lines will be graphed using solid lines. (refer to the attached image in the answer part)

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