Answer:
[tex]x \ge 0[/tex]
Step-by-step explanation:
Given
[tex]6-(x+2) \ge 4-9x[/tex]
Required
Solve
[tex]6-(x+2) \ge 4-9x[/tex]
When you distribute -(x+2), the expression becomes:
[tex]6-x-2 \ge 4-9x[/tex]
Collect Like Terms
[tex]9x-x \ge 4-6+2[/tex]
[tex]8x \ge 0[/tex]
Divide both sides by 8
[tex]x \ge \frac{0}{8}[/tex]
[tex]x \ge 0[/tex]