Answer:
[tex]x\in (-\infty,11][/tex]
Step-by-step explanation:
Inequalities
Solve the following inequality:
[tex]-3x+14\ge 3-2x[/tex]
Adding 2x:
[tex]-3x+14+2x\ge 3[/tex]
Subtracting 14:
[tex]-3x+2x\ge 3-14[/tex]
Operating:
[tex]-x\ge -11[/tex]
Multiplying by -1 and flipping the sign:
[tex]x\le 11[/tex]
Solution:
[tex]\boxed{x\in (-\infty,11]}[/tex]
