[tex]5 < 3x + 2 < 11 \\5 - 2< 3x + 2 - 2 < 11 - 2 \\ 3 < 3x < 9 \\ 1 < x < 3[/tex]

Answer:

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Step-by-step explanation:

5<3x+2<11

means 3x+2 is greater than five and less than 11

so we have to put x=somthing so that 5<3x+2<11

so, if put x=1

then the answer is 3x+2=5

if x=1 it is not greater than 5 but less 11

next,

if we put x=2

then the answer is 3x+2=8

it is greater than 5 and less than 11

1<x<3