which interval is the solution set to 0.35x - 4.8 < 5.2 - 0.9x?\n(-∞, -8)\n(-∞, 8)\n(-8, ∞)\n(8, ∞)
which interval is the solution set to 0.35x - 4.8 < 5.2 - 0.9x?\n(-∞, -8)\n(-∞, 8)\n(-8, ∞)\n(8, ∞)
Answer
Explanation:
Step1: Combine like - terms
Add (0.9x) to both sides of the inequality (0.35x - 4.8<5.2 - 0.9x). (0.35x+0.9x - 4.8<5.2-0.9x + 0.9x), which simplifies to (1.25x-4.8 < 5.2).
Step2: Isolate the variable term
Add (4.8) to both sides of the inequality (1.25x-4.8 < 5.2). (1.25x-4.8 + 4.8<5.2 + 4.8), resulting in (1.25x<10).
Step3: Solve for (x)
Divide both sides of the inequality (1.25x<10) by (1.25). (x<\frac{10}{1.25}), and (\frac{10}{1.25}=8), so (x < 8).
Answer:
((-\infty,8))