Inequalities

Question

Determine if the inequality 3x-4x is greater than or equal to 6-x+8 is never, sometimes, or always true. If it is sometimes true, identify the solution set.

Answer 1

3x - 4x ≥ 6 - x + 8

 

Solve for x:

 

-x ≥ 6 - x + 8

-x + x ≥ 6 + 8

0 ≥ 14

 

This statement is never true, so the inequality is never true.