Question

solve, $-3a + 7 < -14$

Explanation:

Step1: Subtract 7 from both sides

To isolate the term with \(a\), we subtract 7 from both sides of the inequality \(-3a + 7 < -14\). This gives us \(-3a + 7 - 7 < -14 - 7\), which simplifies to \(-3a < -21\).

Step2: Divide by -3 (reverse inequality)

When dividing both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \(-3a < -21\) by \(-3\) gives \(a > 7\) (since \(\frac{-21}{-3}=7\) and the inequality sign is reversed).

Answer:

\(a > 7\)