SOLUTION: solve this?Let −4 ≤ x ≤ 5 and a ≤ 2x + 1 ≤ b.(a) Find the largest possible value of a. a = (b) Find the smallest possible value of b. b =

Algebra ->  Inequalities -> SOLUTION: solve this?Let −4 ≤ x ≤ 5 and a ≤ 2x + 1 ≤ b.(a) Find the largest possible value of a. a = (b) Find the smallest possible value of b. b =       Log On


   

Question 467568: solve this?Let −4 ≤ x ≤ 5 and a ≤ 2x + 1 ≤ b.(a) Find the largest possible value of a.
a =
(b) Find the smallest possible value of b.
b =
Answer by Gogonati(855) About Me  (Show Source):
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Multiply by 2 both inequalities and get: -8≤2x ≤10, adding 1 on both inequalities we get:-7≤2x+1≤11 Comparing our final inequalities with the inequalities a≤2x+1≤b, we conclude that the largest possible value of a=-7, and smallest possible value of b=11.