Question

1. -2x + 6 < 20

Explanation:

Step1: Subtract 6 from both sides

To isolate the term with \(x\), we subtract 6 from both sides of the inequality \(-2x + 6 < 20\). This gives us \(-2x + 6 - 6 < 20 - 6\), which simplifies to \(-2x < 14\).

Step2: Divide by -2 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. So, dividing both sides of \(-2x < 14\) by \(-2\) gives \(x > -7\) (since \(\frac{-2x}{-2} > \frac{14}{-2}\) simplifies to \(x > -7\)).

Answer:

\(x > -7\)