Answer:
{x | x = 0.5 or x = 4.5}
Explanation:
Before we begin, remember that:
The modulus gives the positive value of what's inside it.
This means that:
|a| = |-a| = a
Now, for the given, we have:
|2x-5| = 4
From the above rule, we can deduce that:
either:
2x - 5 = 4
2x = 4 + 5 = 9
x = 4.5 ............> first solution
Or:
2x - 5 = -4
2x = 5-4 = 1
x = 0.5 ..........> second solution
Now, we check:
at x = 4.5: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified
at x = 0.5: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified
Hope this helps :)
