Let and be left -modules. We say that is a universal of the square diagram if whenever we have another diagram there exist a unique homomorphism such that the following diagram commutes We want to show that the universal...

MMM #38: Prove or disprove: The product of any four consecutive integers is always one less than a perfect square. Don’t assume the integers are all positive. Any four consecutive integers can be written as . The product of these numbers is Therefore the...

This is the updated procedure of how to install latex on your Blogger. What’s New? The script located in a more stable location (in google server) rather than using watchmath.com server (which sometimes down for some unknown reason). New script, adapting the preference...

Find the slope of the line through and 1. 2. Find an equation of the line that satisfies the given conditions. 3. Through ; slope 1 4. Through and 5. Slope 3; y-intercept -2 6. Through ; parallel to the -axis 7....

Solve the linear inequality. Express the solution using interval notation. 1.

Find all real solutions of the equation. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.

Factor the following trinomials 1. 2. 3. Write the following equations in the form (for example the equation can be written as ) 4. 5. Find all real solutions to the equation. 6. 7. 8. 9. 10. A rectangular bedroom is...