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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 27 Page 193

Can one of the inequalities be written as the other?

Answer: Yes.
Explanation: When the variable is isolated, the inequalities are the same.

Practice makes perfect

Let's begin by stating the inequalities. m- 12&< 38 (I) [0.8em] m&< 78 (II) If two inequalities are equivalent, it is possible to write one of them as the other. To determine if the given inequalities are equivalent, we will attempt to write Inequality (I) as Inequality (II).

m-1/2<3/8

LHS+1/2

m<3/8+1/2

▼

Simplify left-hand side

a/b=a * 4/b * 4

m<3/8+4/8

Add fractions

m<7/8

When the variable in Inequality (I) is isolated, we see that the two inequalities are the same. Therefore, they are equivalent.