Question

1. \\( x + \frac{1}{4} = 2 \frac{1}{2} \\)\
2. \\( 4.2 > x + \frac{3}{8} \\)\
3. \\( x - \frac{3}{5} = 1 \frac{1}{2} \\)\
4. \\( 4.1 > x \\)\
5. \\( 6.9 \leq x - 2.3 \\)\

test practice\

1. a. solve the inequality \\( x - \frac{3}{8} < \frac{1}{2} \\)\

b. graph the solution on the number line

Explanation:

Looking at the visible problem 12a: Solve the inequality \( x - \frac{3}{8} < \frac{1}{2} \)

Step 1: Add \( \frac{3}{8} \) to both sides

To isolate \( x \), we add \( \frac{3}{8} \) to both sides of the inequality.
\( x - \frac{3}{8} + \frac{3}{8} < \frac{1}{2} + \frac{3}{8} \)

Step 2: Simplify both sides

Simplify the left side: \( x - \frac{3}{8} + \frac{3}{8} = x \)
Simplify the right side: Find a common denominator for \( \frac{1}{2} \) and \( \frac{3}{8} \), which is 8. So \( \frac{1}{2} = \frac{4}{8} \), then \( \frac{4}{8} + \frac{3}{8} = \frac{7}{8} \)
So we get \( x < \frac{7}{8} \)

Answer:

\( x < \frac{7}{8} \)