Solve for x.

−2x+4≤14
A.x≤−5

B.x≥5

C.x≥−5

D.x≥−9

To solve the inequality \(-2x + 4 \leq 14\), follow these steps:

1. **Subtract 4 from both sides**:
   \[
   -2x + 4 - 4 \leq 14 - 4
   \]
   \[
   -2x \leq 10
   \]

2. **Divide both sides by -2** (remember, dividing by a negative number reverses the inequality sign):
   \[
   \frac{-2x}{-2} \geq \frac{10}{-2}
   \]
   \[
   x \geq -5
   \]

The solution is \(x \geq -5\).

So, the correct answer is **C. \(x \geq -5\)**.

Do you want more details or have any questions?

Here are five related questions for practice:

1. Solve the inequality: \(3x - 7 \leq 5\).
2. Solve the inequality: \(4x + 2 > 10\).
3. Solve the inequality: \(-5x + 8 \geq 3\).
4. Solve the inequality: \(\frac{x}{3} - 2 \leq 1\).
5. Solve the inequality: \(-3x + 6 < 0\).

**Tip**: Always remember to reverse the inequality sign when you multiply or divide by a negative number.

Learn how to solve the inequality -2x + 4 ≤ 14 step-by-step. This problem involves solving linear inequalities and understanding the concept of inequality manipulation. Suitable for students in Grades 7-9.

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