Answer:
Option D
Step-by-step explanation:
–3x + 1 < 7
Isolate x by subtracting 1 from both sides of the inequality:
–3x + 1 – 1 < 7 – 1
–3x + 0 < 6
Simplify –3x < 6 by dividing both sides of the inequality by –3:
[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]
Use Division property of inequality, which reverses the inequality symbol when dividing both sides of the inequality by a negative number. Therefore:
[tex]\frac{-3x}{-3} > \frac{6}{-3}[/tex]
x > – 2
Solution: x > –2
Interval notation: [(–2, ∞)]
