44. -3x2 – 10x > -1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section: Chapter Questions
Problem 7SGR
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Example 5
Solve each inequality algebraically.
33. x? – 9x < -20
34. x² + 7x 2 -10
35. 2 > x? - x
36. –3 <-x? – 4x
39. 2r? + 4 29
37. -x? + 2x s -10
38. -6 > x² + 4r
40. 3x2 + x2 -3
41. –4x2 + 2x < 3
42. –11 > -2r? - 5x
43. -12 < -5x2 –10x
44. –3x² – 10x >-1
PERSEVERANCE The Sanchez family is adding
a deck along two sides of their swimming pool. The
45.
24 ft
deck width will be the same on both sides and the
12 ft
total area of the pool and deck cannot exceed
750 square feet.
a. Graph the quadratic inequality.
b. Determine the possible widths of the deck.
Transcribed Image Text:Example 5 Solve each inequality algebraically. 33. x? – 9x < -20 34. x² + 7x 2 -10 35. 2 > x? - x 36. –3 <-x? – 4x 39. 2r? + 4 29 37. -x? + 2x s -10 38. -6 > x² + 4r 40. 3x2 + x2 -3 41. –4x2 + 2x < 3 42. –11 > -2r? - 5x 43. -12 < -5x2 –10x 44. –3x² – 10x >-1 PERSEVERANCE The Sanchez family is adding a deck along two sides of their swimming pool. The 45. 24 ft deck width will be the same on both sides and the 12 ft total area of the pool and deck cannot exceed 750 square feet. a. Graph the quadratic inequality. b. Determine the possible widths of the deck.
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