Solve and graph x - 2 > -5 and x - 2 < 4 on a number line

(-3, 6)

Step-by-step explanation:

Solve x - 2 > -5 for x as follows:  Add 2 to both sides, obtaining x > -3.  To graph this, find -3 on the number line and put a circle there.  Draw a solid line from this circle towards the right.

Solve x - 2 < 4 for x as follows:  Add 2 to both sidees, obtaining x < 6.  Find 6 on the number line and put a circle there.  Draw a solid line from this circle to the left.

Notice that the two lines you've drawn overlap on the interval (-3, 6).  This is the desired solution set.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).