how to graph a compound inequalities

Question

all real numbers that are between -4 and 6

Answer 1

You can use a number line here.

For example, draw a line 20 units long and mark off the centre as reference point 0.

To the left of the reference point we have equal divisions -10 to -1 and on the right 1 to 10:

-10  -9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2   3   4   5   6   7  8   9  10

Now we take the segment from -4 to 6:

-10  -9  -8  -7  -6  -5  -4  -3  -2  -1   0   1   2   3   4   5   6   7  8   9  10

The inequality -4≤x≤6 is this segment, which is ten units long.