Answer: x < -3 or x > 10
The number line graph is below
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Work Shown:
|2x-7|>13
2x-7 > 13 or 2x-7 < -13
2x > 13+7 or 2x < -13+7
2x > 20 or 2x < -6
x > 20/2 or x < -6/2
x > 10 or x < -3
x < -3 or x > 10
To graph this on a number line, plot open holes at -3 and 10. Then shade to the left of -3 and to the right of 10. The region between the open holes is not shaded. This is to visually represent being either smaller than -3 or larger than 10 (but not both at the same time).
Check out the diagram below.