Proof Assume that 2 | (x² − 1). So x² − 1 = 2y for some integer y. Thus, x² = 2y + 1 is an odd integer. It then follows by Theorem 3.12 that x too is odd. Hence, x = 2z + 1 for some integer z. Then x² − 1 = (2z + 1)² − 1 = (4z² + 4z + 1) − 1 = 4z² + 4z = 4(z² + z). Since z² + z is an integer, 4 | (x² − 1).

I want it in writing hard to understand

Can you write a code for this task, i need to do it in R commander?

QUESTION 2 Jim wants to buy a computer. The total cost is $1,180. If he can save $60 a month, how long will it take for him to save up for the computer? For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 14px !!

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Where are the follow up steps (step 4-7)?