The best way to answer this question is by interpreting or simpifying each give choices.
By looking at the graph and analyzing it, the solution set are composed of {-15, -14, -13, -12,..}
Meaning all the numbers that are greater than -15 are part of the solution set. Translating it into an equation the answer should be;
x > -15
So symplifying the answers we have;
(a) 0.4x + 7 < 1
0.4x < 1 - 7
0.4x < -6
x < -6/0.4
x < -15 , which is not equal to the answer we formulated above.
(b) 0.3x + 8 < 3
0.3x < 3 - 8
x < -5 / .03
x < -16.667 , which is not equal to the answer we formulated above.
(c) 0.5x + 6 > 3
0.5x > 3 - 6
x > -3 / 0.5
x > -6 , which is not equal to the answer we formulated above.
(d) 0.2x + 5 > 2
0.2x > 2 - 5
x > -3 / .2
x > -15 , which is equal to the answer we formulated above.
Therefore the answer is Letter D.
