Math - Others

Sets and Relations Solutions

2. A and Bare 2 subsets of the Universal Set U. A' = not in A. B'= not in B. If n(U)= 340, n(A) = 120, n(B) = 180, n(A UB)=250, determine a. n(A∩B') = b. n(A'∩B) = c. n(A∩B) = d. n(A'∩B') =

Determine the symmetric equations of the line passing through point (3,-2,8) and parallel to the z-axis.

Let X be any topological space and let B = {X-A | A is closed and compact in (X,T)}. Prove that B is a base for some topology T' on X such that T' ⊂ T and (X,T') is compact.

Let f: R³-> R³ be the linear transformation which is projection onto the XY-plane. Let g: R³-> R³ be a counterclockwise rotation about the Z-axis over an angle π/4. (a) What is the matrix corresponding to g o f? (b) If g of invertible? (c) Is g o f= f o g?

Solve the linear inequality. Enter the solution set of the inequality in interval notation. Type "infinity" to represent ∞, if needed. Type "negative infinity" or "-infinity" to represent -∞, if needed. Be sure to use appropriate symbols on the endpoints of the interval. Do not enter any spaces in your answer. (2y+1)/5 - (y-2)/3 ≤-1/15

Find all values of x satisfying the given conditions. y=x+√(x+3) and y = 3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is { } (Use a comma to separate answers as needed.) B. There is no solution.

Solve the absolute value equation or indicate that the equation has no solution. 3|2x-7|=21 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is { }. (Simplify your answer. Use a comma to separate answers as needed.) OB. The solution set is the empty set.

Find the x-intercepts of the graph of the equation. Use the x-intercepts to match the equation with its graph. y=√(x+6)+√(x-2)-4 The set of x-intercepts is

Solve the radical equation. Check all proposed solutions. x -√(3x-8)=6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is { } (Use a comma to separate answers as needed. Simplify your answer.) OB. The solution set is Ø.

Find all the values of x satisfying the given conditions. y = 15-3x and y=13 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is ___ (Use a comma to separate answers as needed. Simplify your answer.) OB. There is no solution.

Solve the absolute value equation or indicate that the equation has no solution. |2x-1|=3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is (Simplify your answer. Use a comma to separate answers as needed.) OB. The solution set is the empty set.

Solve the radical equation. Check all proposed solutions. √2x+5-1=x Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is { (Use a comma to separate answers as needed. Simplify your answer.) B. The solution set is Ø.

Get homework help from verified tutors

Create account for free to start getting homework help from real tutors 24/7