Question 999414
x-4 > 2
x-4+4 > 2+4 ... Add 4 to both sides.
x+0 > 6
x > 6



Graph:
Step 1) Draw a number line
Step 2) Plot an <font color="red">open circle</font> at 6 on the number line
Step 3) Shade to the <font color="red">right</font> of this open circle.


We use an open circle to exclude the endpoint. IF we wanted to include the endpoint, then we'd have {{{x>=6}}} and we'd plot a closed circle. But we're not including the endpoint. So we use an open circle.


We shade to the right because of the "greater than" sign. Think of numbers that are greater than 6, say the number 10. This number 10 is in the shaded region.