Johnson Pritchard
03/29/2023 · Primary School
14. Which is the solution to the following inequaltey? \( 2 x-7 \geq 9 \) \( \begin{array}{ll}\text { A. } x \geq 8 & \text { B. } x \geq 1 \\ \text { C. } x \leq 8 & \text { D. } x \geq-1\end{array} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To solve the inequality \( 2x - 7 \geq 9 \), we can follow these steps:
1. Add 7 to both sides of the inequality:
\[
2x - 7 + 7 \geq 9 + 7
\]
This simplifies to:
\[
2x \geq 16
\]
2. Divide both sides by 2:
\[
\frac{2x}{2} \geq \frac{16}{2}
\]
This simplifies to:
\[
x \geq 8
\]
Thus, the solution to the inequality is \( x \geq 8 \).
The correct answer is:
**A. \( x \geq 8 \)**.
Quick Answer
The solution is \( x \geq 8 \). Correct answer is A.
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