inequality solve

Question

Solve the inequality -3(2+3x) ≥ 6 – (7x+4). Write the solution set in interval notation. Show work.

Answer 1

-3(2 + 3x) ≥ 6 – (7x + 4)

 

–6 – 9x ≥ 6 – 7x – 4

 

Add 9x – 2 to both sides:

 

–8 ≥ 2x

 

x ≤ –4 or x ∈ (–∞,–4]