How do you graph #abs(4x +8)> 16#?
Make a table of the points and plot them.
Whether using manual calculations and graph paper of a calculation program, at some point the calculations must be made to generate the points for the graph. The direct solution is:
For an absolute value problem the inequality can be split into two parts – one with the expression with a positive variable value, and the other with it as a negative.
Solving these we obtain:
The solution is thus [-inf, -2) and (2, +inf]. The graph is a dotted line along the x = -2 and x = 2 values, with shading on the left and right sides, clear in the middle.