Answer:
The solution of I3x - 4I = 15 is {-11/3 , 19/3}
Step-by-step explanation:
* Lets explain the meaning of I I (absolute value)
- The absolute value of any number is the magnitude of the number
means the value of the number without its sign, we ignore the sign
of the number
- The absolute never equal a negative value
- If IxI = a, then x = a or x = -a
* Now lets solve the problem
∵ I3x - 4I = 15
∴ 3x - 4 = 15 OR 3x - 4 = -15
* Lets solve the two equation
∵ 3x - 4 = 15 ⇒ add 4 to both sides
∴ 3x = 19 ⇒ divide both sides by 3
∴ x = 19/3
∵ 3x - 4 = -15 ⇒ add 4 to both sides
∴ 3x = -11 ⇒ divide each side by 3
∴ x = -11/3
* The solution of I3x - 4I = 15 is {-11/3 , 19/3}
