Question

Please answer and show

Answer 1

`x\in (-\infty,11]`

Explanation:

Inequalities

Solve the following inequality:

`-3x+14\ge 3-2x`

Adding 2x:

`-3x+14+2x\ge 3`

Subtracting 14:

`-3x+2x\ge 3-14`

Operating:

`-x\ge -11`

Multiplying by -1 and flipping the sign:

`x\le 11`

Solution:

`\boxed{x\in (-\infty,11]}`