2x≥3x+6≥6x-6
please explainn your answer, i dont know how to do it thanks
Split into two inequalities: and and solve each one.
If , solving for x we get .
For the second inequality, , subtract 3x from both sides to get . Add 6 to both sides to get .
The solution set is the intersection of the sets defined by and (because x needs to satisfy both inequalities). This inequality follows the transitive property, so we do not need to worry about the inequality . The solution set is .