Question

solve for a.
\\(\frac{a}{-8} + 540 > 545\\)

Explanation:

Step1: Subtract 540 from both sides

To isolate the term with \( a \), we subtract 540 from both sides of the inequality.

$$ \frac{a}{-8} + 540 - 540 > 545 - 540 $$

Simplifying both sides, we get:

$$ \frac{a}{-8} > 5 $$

Step2: Multiply both sides by -8 (and reverse inequality)

When multiplying or dividing an inequality by a negative number, we must reverse the inequality sign. So we multiply both sides by -8:

$$ \frac{a}{-8} \times (-8) < 5 \times (-8) $$

Simplifying both sides gives:

$$ a < -40 $$

Answer:

\( a < -40 \)