5. a. Solve: $$ \frac{1}{2} x+8 \leq 10 $$

Question

UpStudy AI · Accepted Answer

To solve the inequality:

$$
\frac{1}{2} x + 8 \leq 10
$$

Follow these steps:

### Step 1: Subtract 8 from both sides

$$
\frac{1}{2} x + 8 - 8 \leq 10 - 8
$$

Simplifying:

$$
\frac{1}{2} x \leq 2
$$

### Step 2: Multiply both sides by 2 to isolate $$ x $$

Since you're multiplying by a positive number, the direction of the inequality remains the same.

$$
2 \times \left( \frac{1}{2} x \right) \leq 2 \times 2
$$

Simplifying:

$$
x \leq 4
$$

### **Solution**

$$
x \leq 4
$$

This means that any real number $$ x $$ that is **4 or less** satisfies the original inequality.
$$ x \leq 4 $$

a. Solve: