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Alex
4 years ago
14

Students in a science class are divided into 6 equal groups with at least 4 students in each group. Identify an inequality that

represents the number of students in the class. Would x/6 > or equal to 4 be correct?
Mathematics
1 answer:
worty [1.4K]4 years ago
7 0
Yes bc 6 groups and a bout 4 are in it ...........
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Solve the equation and show all work. 4|x + 1/3| = 20 <br> i'm kind of stuck hhh
34kurt

Absolute value is a function that takes some number and outputs the size of that number, regardless of the sign. By definition, |x|=x if x\ge0, and |x|=-x if x.

For example,

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What this means for this problem is that there are two cases to consider:

  • If x+\frac13\ge0, then \left|x+\frac13\right|=x+\frac13, so that

4\left(x+\dfrac13\right)=20\implies x+\dfrac13=5\implies\boxed{x=\dfrac{14}3}

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-4\left(x+\dfrac13\right)=20\implies x+\dfrac13=-5\implies\boxed{x=-\dfrac{16}3}

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