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x can be anything greater than 3 or less than or equal to 4. This includes all numbers on the number line, so we need to shade the entire thing!

Example 2

-5 ≤ p < 5

p can be anything greater than or equal to -5 and less than 5. This means that it can only be the stuff in between.

Example 3

y < -2 and y > 1

If this were an "or" inequality it would look like this:

However, it is an "and" inequality, so we only graph the numbers that overlap. Hmm… there don't seem to be any numbers that overlap? This means that no numbers satisfy both conditions. Our answer should look like this: