Solve |2x - 5| = 4.

{x | x = -4.5 or x = 4.5}
{x | x = 0.5 or x = 4.5}
{x | 0.5

Question

Solve |2x - 5| = 4.


{x | x = -4.5 or x = 4.5}
{x | x = 0.5 or x = 4.5}
{x | 0.5 < x < 4.5}

bagelini · Answer

are these all different problems? or are you telling us what we replace "x" with?

anonymous · Answer

|4| does thtat equal four or -4

bagelini · Answer

When something has the absolute value brackets: $$\left|  \right|$$ it is talking about how far away the number is from zero on a number line.

anonymous · Answer

so -4

bagelini · Answer

so in your case, $$\left| -4 \right|$$ would still be +4 because it is four points away from zero on a number line. does that make sense?

anonymous · Answer

i plugged a and b in and they both dont work so i think its c can you check??

anonymous · Answer

its b or c actually im not shure

mathstudent55 · Answer

To solve an absolute value equation like yours, solve the compound equation below:

2x - 5 = 4 or 2x - 5 = -4

mathstudent55 · Answer

Solve each simple equation and keep the word "or" between solutions. That is you final answer.

anonymous · Answer

isnt ther no soulution to thta tho

mathstudent55 · Answer

Can you solve 2x - 5 = 4?

anonymous · Answer

4.5

anonymous · Answer

so its a ????

mathstudent55 · Answer

You are correct. x = 4.5 for the left equation. Now do the right equation.

2x - 5 = 4 or 2x - 5 = -4

Add 5 to both sides of both equations:
2x = 9 or 2x = 1

Divide both sides of both equations by 2.
x = 4.5 or x = 0.5

anonymous · Answer

so its c

mathstudent55 · Answer

No. This problem has no greater than or less than. It is strictly an equation. The answer is b.