### Home > CCAA > Chapter 6 Unit 4 > Lesson CC2: 6.1.4 > Problem6-43

6-43.

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

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

1. $2$

Substitute $2$ for $x$.

$3(2)-2<2-2(2)$

Now simplify.

$6-2<2-4$

Is this statement true?

$4<-2$

No, $2$ is not a solution to the inequality.

1. $\frac { 1 } { 2 }$

See part (a).

Yes, it is a solution to the inequality.

1. $-3$

See part (a).

1. $\frac { 2 } { 3 }$

See part (a).