Question

Determine whether each number is a solution of the inequality below.
3 x plus 5greater than or equalsnegative 6
a. 3
b. 2
c. 1
Question content area bottom
Part 1
a. Is 3 a​ solution?
Yes
No

Answer 1

To determine if 3 is a solution to the inequality \( 3x + 5 \geq -6 \), we can substitute \( x = 3 \) into the inequality and check if it holds true.

1. Substitute \( x = 3 \):
\[
3(3) + 5 \geq -6
\]
\[
9 + 5 \geq -6
\]
\[
14 \geq -6
\]
This statement is true.

Therefore, **3 is a solution** to the inequality.

**Answer**: Yes

---

Next, let's check if 2 is a solution.

1. Substitute \( x = 2 \):
\[
3(2) + 5 \geq -6
\]
\[
6 + 5 \geq -6
\]
\[
11 \geq -6
\]
This statement is also true.

So, **2 is a solution** to the inequality.

**Answer**: Yes

---

Lastly, let's check if 1 is a solution.

1. Substitute \( x = 1 \):
\[
3(1) + 5 \geq -6
\]
\[
3 + 5 \geq -6
\]
\[
8 \geq -6
\]
This statement is true as well.

Thus, **1 is a solution** to the inequality.

**Answer**: Yes

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Summary:
- a. 3 is a solution: **Yes**
- b. 2 is a solution: **Yes**
- c. 1 is a solution: **Yes**