Question

solve the inequality and graph the solution.
28 < m + 30
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5

Explanation:

Step1: Subtract 30 from both sides

To solve the inequality \(28 < m + 30\), we subtract 30 from both sides of the inequality. This is done to isolate the variable \(m\) on one side. The operation is \(28 - 30 < m + 30 - 30\).

Step2: Simplify both sides

Simplifying the left side: \(28 - 30=-2\). Simplifying the right side: \(m + 30 - 30 = m\). So the inequality simplifies to \(-2 < m\), or equivalently \(m > -2\).

Answer:

The solution to the inequality \(28 < m + 30\) is \(m > -2\). To graph this, we draw an open circle at \(-2\) (since the inequality is strict, \(m\) cannot equal \(-2\)) and draw an arrow to the right to represent all numbers greater than \(-2\).