...I have two years of professional experience helping high school students prepare for the subjects encountered during the ACT Math Test. Students will gain the skills to become proficient in the six main areas of mathematics encountered in the ACT Math Test: Pre-Algebra, Elementary Algebra, Inter... (read more)
My name is John. I am a 68 year old retiree who enjoys working with high school students to improve their algebra and geometry skills. I have been doing on-line tutoring for 4 years and believe I’ve helped several students improve their grades while also keeping my own cognitive skills refreshed in retirement. (read more)
...I graduated with a Bachelor's degree from SUNY Oswego in 2014. I double majored in Physics (B.S.) and Mathematics (B.A.) and acquired a cumulative GPA of 3.76. In 2018 I graduated with a Master's degree in Adolescent Education from SUNY Oswego. (read more)
...Suppose R n R-1 ? {(a, a): a ? A}. Let R = {(x, y): x, y ? A}. By definition of inverse relation, R-1 = {(y, x): x, y ? A}. By definition of subset, if (x, y) ? R n R-1, (x, y) ? {(a, a): a ? A}. Hence, x = y, and so (x, y) ? R implies (y, x) ? R. Since x = y, ? (xRy ? yRx), x = y. Thus, by definition of antisymmetric, R on A is antisymmetric. (read more)