1.2
Indicate on a number line all the numbers X that satisfy the given condition
26. -2 <= x <= 3
Determine whether the set is bounded above, bounded belowor bounded. If a set is bounded above, give anu upper boundl if it is bounded below, give a lower bound; if it is bounded give an upper and a lower bound.
42. {0, -1, -2, -3, ...}
Evaluate
68. 9!/(3!6!)
72. Prove that the product of two rational numbers is a rational number
1.3
Solve the inequality and graph the solution set on a number line
12. 3x^2 + 4x -4 >= 0
18. x^2 (x-3)(x+4)^2 >0
Solve the inequality and express the solution set int terms of intervals
32. |3x-5| < 3
Find an inequality of the form |x-c| < &
42. (-4, 0)
54. Show that |a+b=|a| + |b| iff ab >=0
1.4
Determine the points where teh line intersects the circle
38. y=mx+b x^2 + y^2 = b^2
Find the point where the lines intersect
42. 5x - 6y + 1 = 0
8x + 5y +2 = 0
Identify the given equation as a conic section. If it is a cirfcle, give the center and radius; if it is a n ellipse, give the center, if it is a parabola, give the vertex if it is a hyperbola give the center.
48. 2x^2 + 2y^2 - 4x + 8y = 0
The perpendiicular bisector of the line segment PQ is the line which is perpendicular to PQ and passes through the midpoint of PQ. Find an equation fo rthe perpendicular bisector of.
60. P(-1,3) Q(3,-4)