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2ᎏ] ʜ [2, ϱ) 3 d. [–ᎏ2ᎏ, 2] 224. What is the solution set for |1 – (–22 + x) – 2x |Ն |3x – 5|? 5 a. (ᎏ3ᎏ, ϱ) 5 b. (–ϱ, ᎏ3ᎏ) c. The solution set is the empty set. d. the set of all real numbers 25 –LINEAR EQUATIONS AND INEQUALITIES– Set 15 (Answers begin on page 173) 226. What coordinates are identified by point J shown in the following Cartesian plane? The basics of the Cartesian coordinate system are explored in this problem set. y 225. What are the signs of the coordinates of points J in the shaded quadrant?

X : x Ͻ –32} b. {x : x Ͻ 32} c. {x : x Ͼ 32} d. {x : x Ͼ –32} Set 14 (Answers begin on page 170) This problem set focuses on solving linear equations and inequalities that involve the absolute value of certain linear expressions. 209. What values of x satisfy the equation 206. What is the solution set for –5[9 + (x – 4)] Ն 2(13 –x)? a. {x : x Յ 17} b. {x : x Յ –17} c. {x : x Ն –17} d. {x : x Ն 17} |–x| – 8 = 0? a. 8 only b. –8 only c. both –8 and 8 d. There are no solutions to this equation. 210.

Y = 2x + 1 30 254. Which of the statements is true? a. A vertical line need not have a y-intercept. b. A horizontal line need not have a y-intercept. c. A line with positive slope need not cross the x-axis. d. A line with negative slope need not cross the x-axis. 255. A line has a y-intercept of (0, –6) and an x-intercept of (9, 0). Which of the following points must also lie on this line? a. (–6,–10) b. (1, 3) c. (0, 9) d. (3, –8) e. (6, 13) 256. Determine the value of y if the points (–3, –1), (0, y), and (3, –9) are assumed to be collinear.

### 1001 Algebra Problems - Learning Express Editors

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