TheNamesJesseKay
Choose the correct inequality for: 19 is smaller than or equal to 5x+4 which is smaller than or equal to 24.
A) 3 is smaller than or equal to x which is smaller than or equal to 7
B) 3 is smaller than or equal to x which is smaller than or equal to 5
C) 5 is smaller than or equal to x which is smaller than or equal to 4
D) 3 is smaller than or equal to x which is smaller than or equal to 4
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Monkeyball
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\[19\le5x+4\le24\]
Monkeyball
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This is the basic set up of the inequality
TheNamesJesseKay
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Yeah..
Monkeyball
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From there we can simplify because we want x by itself. So let's get rid of that positive 4 by subtracting 4....but that means we also have to subtract 4 from 19 and 24
TheNamesJesseKay
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Which would leave us with 15 5x and 20
Monkeyball
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\[19-4\le5x+4-4\le24-4\]
Monkeyball
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yes
TheNamesJesseKay
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Okay the what..? would you divide your 5 to get x alone?
Monkeyball
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now lets get rid of that 5 from 5x....divide 5 all throughout
TheNamesJesseKay
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Okay so now we have 3.. x.. and 4..
TheNamesJesseKay
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OH! is that my answer??
Monkeyball
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yes good job!!
TheNamesJesseKay
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Thank you!!! :D
Monkeyball
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but I hate leaving it like that this is how it looks like
\[3\le x \le4\]
TheNamesJesseKay
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Okay(: Thanks you bunches.
Monkeyball
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In some questions you might get multiply answers with 3 and 4 so you have to be picky in order to get that one answer.
Monkeyball
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Yeah no problem.