CPM Homework Help : CC2 Problem 6-43

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Home > CC2 > Chapter 6 > Lesson 6.1.4 > Problem 6-43

6-43.

Determine if each of the numbers below is a solution to the inequality $3x-2<2-2x$ . Show all of your work.

Hint:

Substitute the given values for $x$ and simplify. If the inequality is true, then the number is a solution.

$2$
Hint (a):
Substitute $2$ for $x$ .
$3(2)-2<2-2(2)$
Help (a):
Now simplify.
$6-2<2-4$
More Help (a):
Is this statement true?
$4<-2$
Answer (a):
No, $2$ is not a solution to the inequality.

$\frac { 1 } { 2 }$
Hint (b):
See part (a).
Answer (b):
Yes, it is a solution to the inequality.

$-3$
Hint (c):
See part (a).

$\frac { 2 } { 3 }$
Hint (d):
See part (a).

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