Question

solve for m. reduce any fractions to lowest terms. dont round your answer, and dont mixed fractions. 8m + 95 < -87m + 5

Explanation:

Step1: Add 87m to both sides

To get all the m terms on one side, we add \(87m\) to both sides of the inequality. This gives us \(8m + 87m+ 95 < - 87m+ 87m + 5\), which simplifies to \(95m+95 < 5\).

Step2: Subtract 95 from both sides

Next, we subtract 95 from both sides to isolate the term with m. So, \(95m + 95-95<5 - 95\), which simplifies to \(95m<-90\).

Step3: Divide both sides by 95

Now, we divide both sides by 95 to solve for m. \(\frac{95m}{95}<\frac{- 90}{95}\). We can simplify the fraction \(\frac{-90}{95}\) by dividing both the numerator and the denominator by 5, giving us \(\frac{-18}{19}\). So, \(m<-\frac{18}{19}\).

Answer:

\(m<-\frac{18}{19}\)