Answer: m>25
Step-by-step explanation:
To solve the inequality 49.95m + 100 < 53.95m, let's first isolate the variable m.
We can start by subtracting 49.95m from both sides of the inequality: 49.95m + 100 - 49.95m < 53.95m - 49.95m
Simplifying the left side: 100 < 4m Next, divide both sides of the inequality by 4 to solve for m: 100/4 < 4m/4
Simplifying: 25 < m So, the solution to the inequality 49.95m + 100 < 53.95m is m > 25.
This means that any value of m greater than 25 will make the inequality true.
For example, if m = 26, then: 49.95(26) + 100 < 53.95(26) 1298.7 + 100 < 1403.7 1398.7 < 1403.7
Since 1398.7 is indeed less than 1403.7, the inequality holds true for m > 25.