Question

Graph −7 ≤ x < −3 on the number line Write −7 ≤ x < −3 in interval notation.

Answer 1

To graph the inequality, we first need to draw a number line in which we make sure we adequately graph the number -7 and -3; once we do this, we need to draw circles over this numbers. The circle over the -7 will be solid since the inequality states that x is greater or equal to that number while the circle over -3 will be hollow since the inequality states that x is less than -3; finally, we join these circles with a line. Then we have that the graph is:

The interval notation of the inequality is:

`\lbrack-7,-3)`