Answer:
You did not give the options, so i just will graph it.
The inequality is:
-35 - 2*x + 1 < 11.
Now we would want to isolate the x in one side, so we can start by adding 35 in both sides.
(-35 -2*x + 1) + 35 < 11 + 35
-2x + 1 < 46
now we can subtract 1 in both sides:
-2x + 1 - 1 < 46 - 1
-2x < 45
Now we can divide by -2, remember that if we multiply or divide by a negative number, then the "direction" of the sign changes.
(-2x)/-2 > 45/-2
x > -22.5
Then the graph of the set is an open dot at the point x = -22.5 (this means that the set does not include this point) and a line that extends to the right. (Extends to the right because x is larger than -22.5)
Below is an example of how to draw the graph that represents the set of solutions.
