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:

\( a < -40 \)