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CalculusQ&A Library9. x2 514. x >11.8 -220. 3x- 9 < 622. 5 - x 2 -424. -(1 – x) > 2x – 126. -7x + 3 x25. 2 +x 2 3(x – 1)MOORBBA28. -3 < -x< 227-< x< 430. 3 < x + 4 < 1032. 100 + x< 41 – 6x < 121 + x3.29. -7 2x² – 1843 (x + 1)(x – 2)(x – 4) < 045. (x² – 1)(x² – 4) < 040. (3x + 2)(x – 1) < 042. 4x > 9x + 944. (1 – x)(x +)(x – 3) 0-52.x + 3x(x - 1)53.(1 + x)(1 – x)54. -x +5хCHAPTER 1 INEQUALITIES, EQUATIONS, AND GRAPHS 19. The points (-2, 0). (-2, 6), and (3, 0) are vertices of a rectangle. Find the20. Describe the set of all points (x, r) in the coordinate plane. The set of allIn Problems 21-26, sketch the set of points (x, y) in the xy-plane whose coordinISIGNIAfourth vertex.points (x, -x).Des Moines22. ху > 024. x 2 and y 2-126. y 1satisfy the given conditions.%3D23. x s1 and yl s225. x| > 4KansasCitySt. LoIn Problems 27–32, find the distance between the given points.28. A(-1, 3), B(5, 0)30. A(-12, -3), B(-5, –7)32. A(-3, 4), B(-3, -1)27. A(1, 2), B(-3, 4)29. A(2, 4), B(-4,-4)31. A(-}, 1), B(}, -2)FIGURE 1.3.15 Map fIn Problems 33-38, determine whether the points A, B, and C are vertices of atigh'Atriangle, an isosceles triangle, or both.34. A(-2, -1), B(8, 2), C(1, -11)36. A(4, 0), B(1, 1), C(2, 3)38. A(1, 1), B(4, 5), C(8, 8).33. A(8, 1), B(-3, –1), C(10, 5)35. A(2, 8), B(0, –3), C(6, 5)37. A(-2, 1), B(0, 9), C(3, 4)39. Suppose the points A(0, 0) and B(0, 6) are vertices of a triangle. Find a thirdFIGURE 1.3.1Problem 63УАvertex C so that the triangle is equilateral.40. Find all points on the y-axis that are 5 units from the point (4, 4).41. Consider the line segment joining the points A(-1, 2) and B(3, 4).(a) Find an equation that expresses the fact that a point P(x, y) is equidistanS-2MA spegFIGUREfrom A and from B.Probler(b) Describe geometrically the set of points described by the equation in nam.42. Use the distance formula to determine whether the points A(-1, -5), B(2,4,and C(4, 10) lie on a straight line.010.-10.0.043. Find all points each with x-coordinate 6 such that the distance from each poim(-1,2) is V85.44. Which point, (1/V2, 1/V2) or (0.25, 0.97), is closer to the origin?(-In Problems 45 and 46, find all points P(x, x) that are the indicated distance fmthe given point.(o45. (-2, 0); V1046. (3, –5); V34In Problems 47–52, find the midpoint M of the line segment joining the poinsA and B.1.47. A(4, 1), B(-2, 4)49. A(-1,0), B(-8, 5)51. A(2a, 3b), B(4a, –6b)48. A(}, 1), B(3. –3)50. A(}, –}), B(-3, 1)52. A(x, x), B(-x, x + 2)In Problems 53-56, find the point B if M is the midpoint of the line segment joinmpoints A and R.Question

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