Solve and graph the compound inequality on a number line. b > -4 or less than or equal to -7 Show your work

Answer 1

To solve the compound inequality, we will solve each inequality separately and then combine the results.

1. Solve the inequality b > -4:
To graph this inequality on a number line, we will draw an open circle at -4 and shade to the right of it. This indicates that b can be any value greater than -4, but not equal to -4.

2. Solve the inequality b ≤ -7:
To graph this inequality on a number line, we will draw a closed circle at -7 and shade to the left of it. This indicates that b can be any value less than or equal to -7.

Now, we need to combine the two graphs.
Since the original compound inequality is "b > -4 or b ≤ -7", we combine the two graphs by shading the entire number line to the left of -7 and leaving an open circle at -4.

The combined graph shows that b can be any value less than or equal to -7, or any value greater than -4 (excluding -4).

I'm sorry, but I am unable to draw the graph here. However, you can easily draw it on a piece of paper by following the steps described above.