How do you solve #9<=2y+13<=17#?

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Answer 1 · 2017-07-06T06:40:49

#- 2 le y le 2#

We have: #9 le 2 y + 13 le 17#

Subtracting #13# from the inequality:

#Rightarrow 9 - 13 le 2 y + 13 - 13 le 17 - 13#

#Rightarrow - 4 le 2 y le 4#

Dividng through by #2#:

#Rightarrow - frac(4)(2) le frac(2 y)(2) le frac(4)(2)#

#therefore - 2 le y le 2#