Question

What is the solution set for the equation |2x-3|=6?
please explain how you get your answer

Answer 1

|2x-3|=6
means you have two equations to solve:
2x-3=6 or 2x-3=-6

Answer 2

in general if a is positive and you have |f(x)|=a
then we have f(x)=a or f(x)=-a.

Answer 3

ok

Answer 4

anyways all you have to do now is solve the following two linear equations:
2x-3=6 , 2x-3=-6

Answer 5

can you do that?

Answer 6

solving 2x-3=6 is only 2 steps
solving 2x-3=-6 is also only 2 steps

Answer 7

ok

Answer 8

so for 2x-3=6 x=4.9
and for 2x-3=-6 x=-1.5?

Answer 9

9/2 should be 4.5

Answer 10

but yes the solution you have to the last equation you wrote is right

Answer 11

ok

Answer 12

the solution set is {9/2,-3/2}
or if you want to write in decimal form {4.5,-1.5}

Answer 13

oh ok thank you!!!