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slayer8001
 one year ago
Solve the inequality 2x  3 < x + 2 ≤ 3x + 5. Show your work.
slayer8001
 one year ago
Solve the inequality 2x  3 < x + 2 ≤ 3x + 5. Show your work.

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slayer8001
 one year ago
Best ResponseYou've already chosen the best response.0plz I really need help

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0break this up. Do this one first \[2x3 < x + 2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1441890766597:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then do \(x+2 \le 3x+5\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0start by subtracting 3x from both sides

slayer8001
 one year ago
Best ResponseYou've already chosen the best response.0it would be the same wouldn't it?

slayer8001
 one year ago
Best ResponseYou've already chosen the best response.0after subtracting 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0where did your x go? You should have 2x + 2 < 5 Then subtract the 2 from both sides

slayer8001
 one year ago
Best ResponseYou've already chosen the best response.0oops yeah forgot to put the x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right then divide by 2 and flip the sign since it's negative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x > 0.67 b/c you only flip once you divide by the negative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0also, you should leave it as \(x>\frac{2}{3}\) because it's more exact

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If you were to graph the two solutions it would look like thisdw:1441891511708:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But your final answer combines themdw:1441891692074:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So the solution is all numbers between 2/3 and 5, including 5 and you'd write it as \[\frac{ 2 }{ 3 }<x\le5\]

slayer8001
 one year ago
Best ResponseYou've already chosen the best response.0ok thanks so much I really appreciate your help
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