Let's determine which values are solutions to the inequality \(-3x - 4 < 2\). We'll evaluate each of the given values one by one to see if they satisfy the inequality.
1. For \(x = 1\):
[tex]\[
-3(1) - 4 < 2 \implies -3 - 4 < 2 \implies -7 < 2
\][/tex]
This is true, so \(x = 1\) is a solution.
2. For \(x = 0\):
[tex]\[
-3(0) - 4 < 2 \implies 0 - 4 < 2 \implies -4 < 2
\][/tex]
This is true, so \(x = 0\) is a solution.
3. For \(x = -1\):
[tex]\[
-3(-1) - 4 < 2 \implies 3 - 4 < 2 \implies -1 < 2
\][/tex]
This is true, so \(x = -1\) is a solution.
4. For \(x = 2\):
[tex]\[
-3(2) - 4 < 2 \implies -6 - 4 < 2 \implies -10 < 2
\][/tex]
This is true, so \(x = 2\) is a solution.
5. For \(x = -2\):
[tex]\[
-3(-2) - 4 < 2 \implies 6 - 4 < 2 \implies 2 < 2
\][/tex]
This is false, so \(x = -2\) is not a solution.
Therefore, the values that are solutions to the inequality [tex]\(-3x - 4 < 2\)[/tex] are [tex]\(1, 0, -1,\)[/tex] and [tex]\(2\)[/tex]. Mark all those values accordingly.
