Question

linear inequalities (level 1)
question
solve the following inequality for m. write your answer in simplest form.
10m - 1 > 2m - 2

Explanation:

Step1: Subtract \(2m\) from both sides

To isolate the terms with \(m\), we subtract \(2m\) from both sides of the inequality \(10m - 1>2m - 2\). This gives us \(10m-2m - 1>2m - 2m- 2\), which simplifies to \(8m - 1>-2\).

Step2: Add 1 to both sides

Next, we add 1 to both sides to isolate the term with \(m\). So, \(8m-1 + 1>-2 + 1\), which simplifies to \(8m>-1\).

Step3: Divide by 8

Finally, we divide both sides by 8 to solve for \(m\). Dividing both sides of \(8m>-1\) by 8 gives \(m>-\frac{1}{8}\).

Answer:

\(m>-\frac{1}{8}\)