Question

-2b + 4 is greater than -6

Answer 1

To solve the inequality \(-2b + 4 > -6\), follow these steps:

1. Subtract 4 from both sides:

\[
-2b > -6 - 4
\]

\[
-2b > -10
\]

2. Now, divide both sides by -2. Remember to reverse the inequality sign when dividing by a negative number:

\[
b < \frac{-10}{-2}
\]

\[
b < 5
\]

So, the solution to the inequality is:

\[
b < 5
\]

This means any value of \(b\) that is less than 5 will satisfy the inequality \(-2b + 4 > -6\).