Step-by-step explanation:
30.2 + 4(-x + 1.5) - (-2.7x - 5) ≤ 45.1
30.2 = 60;
4(-x + 1.5) = 4. (-1.x + 5) = 4.(-1).x + 4.5 = -4.x + 20
- (-2.7x - 5) = - 1. (-14.x - 5) = -1. -14x + (-1).(-5) = 14x + 5
So that we have the left one:
30.2 + 4(-x + 1.5) - (-2.7x - 5)
= 60 - 4x + 20 + 14x + 5
= (60 + 20 + 5) - 4x + 14x
= 85 - 10x
Replace it into the initial inequality, we have:
+) 30.2 + 4(-x + 1.5) - (-2.7x - 5) ≤ 45.1
⇔ 85 - 10x ≤ 45
⇔85 - 45 ≤ 10x
⇔ 40 ≤ 10x
⇔ 40/10 ≤ x
⇔ 4 ≤ x
As x ≥ 4, so that the graph representing the inequality is the arrow with starting point at 4 and directs to the right.
The graph is describe in the attached image
