Prove, If true, justify, if false, give counter example

label Algebra
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1. True or False: Let x, y (= Z. If x < y, then x2 < 5y. [Hint: Try some non-positive integers}

2. True or False: Let x,y (= Z. If -21x+3 < -21y+3, then y < x. 

Mar 4th, 2015

false

for example  8 < 9 

8^2 = 64 > 5*9 and not < 45

true

-21x < -21y

x > y

Observe the inequality is reversed





Mar 4th, 2015

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Mar 4th, 2015
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Mar 4th, 2015
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