Question

Which of the following graphs represents the solution set for the inequali -35-2x +1 <11

Answer 1

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.