Let s ⊆ r be nonempty. prove that if a number u in r has the properties: (i) for every n ∈ n the number u − 1/n is not an upper bound of s, and (ii) for every number n ∈ n the number u + 1/n is an upper bound of s, then u = sup s.

Solutions for 2x+7 less than or equal to 3x-5

Aclothing store has the sign shown in the shop window. pani sees the sign and wants to buy 3 shirts and 2 pairs of jeans. the cost of each shirt before the discount is $12, and the cost of each pair of jeans is $19 before the discount. write and simplify an expression to find the amount pani pays if a $3 discount is applied to her total

Layla answer 21 of the 25 questions on his history test correctly.what decimal represents the fraction of problem he answer incorrectly.