Question

1. $4.5 - \frac{x}{4} \geq 4.25$

Explanation:

Step1: Subtract 4.5 from both sides

To isolate the term with \( x \), we subtract 4.5 from both sides of the inequality \( 4.5 - \frac{x}{4} \geq 4.25 \). This gives us:
\( 4.5 - \frac{x}{4} - 4.5 \geq 4.25 - 4.5 \)
Simplifying both sides, we get:
\( -\frac{x}{4} \geq -0.25 \)

Step2: Multiply both sides by -4 (and reverse inequality)

When we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign. So we multiply both sides of \( -\frac{x}{4} \geq -0.25 \) by -4:
\( (-\frac{x}{4}) \times (-4) \leq (-0.25) \times (-4) \)
Simplifying both sides, we find:
\( x \leq 1 \)

Answer:

\( x \leq 1 \)