-21 is greater than -2m + 7

Answer 1

To solve the inequality \(-21 > -2m + 7\), follow these steps:

1. Subtract 7 from both sides: \[ -21 - 7 > -2m \] \[ -28 > -2m \]

2. Divide both sides by -2: Remember that when dividing or multiplying both sides of an inequality by a negative number, you must flip the inequality sign. \[ \frac{-28}{-2} < m \] \[ 14 < m \]

Now we can rewrite the result:

\[ m > 14 \]

So, the solution to the inequality is \(m > 14\).