Question

Multiple Equations or Inequalities Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
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Question
What is the solution set of x+2≥6
and 3x≥6
?(1 point)
{x|x
}

Answer 1

To solve the inequalities \( x + 2 \geq 6 \) and \( 3x \geq 6 \), we'll solve each inequality individually.

1. Solve \( x + 2 \geq 6 \):
\[
x + 2 - 2 \geq 6 - 2
\]
\[
x \geq 4
\]

2. Now, solve \( 3x \geq 6 \):
\[
\frac{3x}{3} \geq \frac{6}{3}
\]
\[
x \geq 2
\]

Next, we need to find the intersection of the two solution sets.

- From the first inequality, we have \( x \geq 4 \).
- From the second inequality, we have \( x \geq 2 \).

The more restrictive condition is \( x \geq 4 \).

Thus, the solution set is:
\[
\{ x \mid x \geq 4 \}
\]

So, the final answer is:
\[
\{ x | x \geq 4 \}
\]