anonymous
  • anonymous
What is the solution set for the equation |2x-3|=6? please explain how you get your answer
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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freckles
  • freckles
|2x-3|=6 means you have two equations to solve: 2x-3=6 or 2x-3=-6
freckles
  • freckles
in general if a is positive and you have |f(x)|=a then we have f(x)=a or f(x)=-a.
anonymous
  • anonymous
ok

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freckles
  • freckles
anyways all you have to do now is solve the following two linear equations: 2x-3=6 , 2x-3=-6
freckles
  • freckles
can you do that?
freckles
  • freckles
solving 2x-3=6 is only 2 steps solving 2x-3=-6 is also only 2 steps
anonymous
  • anonymous
ok
anonymous
  • anonymous
so for 2x-3=6 x=4.9 and for 2x-3=-6 x=-1.5?
freckles
  • freckles
9/2 should be 4.5
freckles
  • freckles
but yes the solution you have to the last equation you wrote is right
anonymous
  • anonymous
ok
freckles
  • freckles
the solution set is {9/2,-3/2} or if you want to write in decimal form {4.5,-1.5}
anonymous
  • anonymous
oh ok thank you!!!

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