Question

graph the solution set for m < 4 or m ≥ -7.

Explanation:

Step1: Mark the first boundary.

For \(m < 4\), draw an open - circle at \(m = 4\) (because \(4\) is not included) and shade to the left.

Step2: Mark the second boundary.

For \(m\geq - 7\), draw a closed - circle at \(m=-7\) (because \(-7\) is included) and shade to the right.

Step3: Combine the shadings.

Since it is an "or" statement, the entire number line between the two boundaries and beyond is shaded.

Answer:

On the number line, there is an open - circle at \(4\) with shading to the left, a closed - circle at \(-7\) with shading to the right, and the entire region between and beyond these two points is shaded.