Answer:
B. (–∞, 8)
Step-by-step explanation:
Simplifying
0.35x + -4.8 < 5.2 + -0.9x
Reorder the terms:
-4.8 + 0.35x < 5.2 + -0.9x
Solving
-4.8 + 0.35x < 5.2 + -0.9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.9x' to each side of the equation.
-4.8 + 0.35x + 0.9x < 5.2 + -0.9x + 0.9x
Combine like terms: 0.35x + 0.9x < 1.25x
-4.8 + 1.25x < 5.2 + -0.9x + 0.9x
Combine like terms: -0.9x + 0.9x < 0.0
-4.8 + 1.25x < 5.2 + 0.0
-4.8 + 1.25x < 5.2
Add '4.8' to each side of the equation.
-4.8 + 4.8 + 1.25x < 5.2 + 4.8
Combine like terms: -4.8 + 4.8 < 0.0
0.0 + 1.25x < 5.2 + 4.8
1.25x < 5.2 + 4.8
Combine like terms: 5.2 + 4.8 < 10
1.25x < 10
Divide each side by '1.25'.
x < 8
Simplifying
x < 8
