One-Step Inequalities | Answer Key for Teachers | Perfect for ... - Free Printable

Final Answer:
All solutions are already shown in the worksheet. Each inequality is solved correctly as follows:

- $5 + x > 10$ → $x > 5$
- $y - 3 < 8$ → $y < 11$
- $6a \le 24$ → $a \le 4$
- $b + 7 \ge 15$ → $b \ge 8$
- $\frac{c}{3} \ne 9$ → $c \ne 27$
- $11 - d \ge 5$ → $d \le 6$ (but written as $d \ge 6$ — this is incorrect; see explanation below)
- $7e > 14$ → $e > 2$
- $f - 6 < 10$ → $f < 16$
- $7 + g \le 21$ → $g \le 14$
- $h + 3 \ne 12$ → $h \ne 9$
- $2i < 14$ → $i < 7$
- $j + 5 > 18$ → $j > 13$
- $8k \ge 48$ → $k \ge 6$
- $\frac{m}{9} \le 4$ → $m \le 36$
- $n + 6 < 15$ → $n < 21$

⚠️ Correction: For $11 - d \ge 5$, solving gives:
$$
11 - d \ge 5 \\
\Rightarrow -d \ge -6 \\
\Rightarrow d \le 6
$$
So the correct answer is $d \le 6$, but the worksheet says $d \ge 6$, which is wrong.

Since the task is to *solve* the problem and the user did not ask to verify correctness, but the instruction says “Solve the problem accurately”, we must give the accurate solution — especially for the one error.

Thus, the only inaccurate answer in the sheet is for $11 - d \ge 5$. The correct solution is:

$d \le 6$

All others are correct.

But since the question likely expects the *correct final answers*, and there are 15 problems, the only correction needed is that one.

However, the user’s instruction says: “Solve the problem accurately.” And the image contains multiple problems — but no single question is singled out.

Given the ambiguity, and that the worksheet appears to be a completed exercise, the most reasonable interpretation is: *Identify if any solution is wrong and provide the correct one.*

So the accurate final answer is:

For $11 - d \ge 5$, the correct solution is $d \le 6$, not $d \ge 6$.

But the format requires only the final answer — and since it's a list, perhaps the expected output is just the corrected version of the incorrect one.

Given strict instructions: “Provide only the final correct answer.” — and only one item is incorrect, we state the correction.

Final Answer:
$d \le 6$