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D. y Ͻ 4x – 3 y Ͻ –4x – 3 y Յ –4x – 3 y Ͼ 4x – 3 45 –LINEAR EQUATIONS AND INEQUALITIES– 292. Which inequality is illustrated by the following graph? 294. Which inequality is illustrated by the following graph? y y 10 10 8 8 6 6 4 4 2 2 –6 –9 3 –3 9 6 18 15 12 x –10 –2 –8 –6 –4 4 6 8 10 x –2 –4 a. b. c. d. 2 –2 –6 –4 –8 –6 –10 –8 yϾ8 yϽ8 xϽ8 xϾ8 –10 293. Which inequality is illustrated by the following graph? a. b. c. d. y–xϾ0 x–yϾ0 y–xՆ0 x–yՆ0 295. Which inequality is illustrated by the following y graph?

X : –10 Ͻ x Յ 0} c. {x : 0 Ͻ x Յ 10} d. {x : –10 Յ x Ͻ 0} equation –3|x| + 2 = 5|x| – 14? a. 0 b. 1 c. 2 d. more than 2 212. What values of x satisfy the equation 2 1 |3x – ᎏ3ᎏ| – ᎏ9ᎏ = 0? a. b. c. d. 24 5 7 ᎏᎏ and ᎏᎏ 27 27 5 5 ᎏᎏ and –ᎏᎏ 27 27 7 7 ᎏᎏ and –ᎏᎏ 27 27 5 7 –ᎏ2ᎏ7 and –ᎏ2ᎏ7 –LINEAR EQUATIONS AND INEQUALITIES– 213. What values of x satisfy the equation |3x + 5| = 8? a. b. c. d. 13 ᎏᎏ and 1 3 13 –ᎏ3ᎏ and 1 13 –ᎏ3ᎏ and –1 13 ᎏᎏ and –1 3 214. How many different values of x satisfy the equation –6(4 – |2x + 3|) = –24?

What is the solution set for –8x + 11 Ͻ 83? a. b. c. d. {x : x Ͼ –9} {x : x Ͻ –9} {x : x Ͼ 9} {x : x Ͻ 9} 199. What is the solution set for –4(x –1) Յ 2(x + 1)? 1 a. {x : x Ն –ᎏ3ᎏ} 1 b. {x : x Յ –ᎏ3ᎏ} 200. What is the solution set for x + 5 Ն 3x + 9? a. b. c. d. 7 {x : x Ն ᎏ2ᎏ} {x : x Ն –2} {x : x Յ –2} {x : x Յ 2} 201. What is the solution set for –6(x + 1) Ն 60? a. b. c. d. {x : x Ն –9} {x : x Յ –9} {x : x Ն –11} {x : x Յ –11} 202. Which of the following statements accurately describes the inequality 2x – 4 Ͻ 7(x – 2)?

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1001 Algebra Problems - Learning Express Editors


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