Question

solve |2x - 3| + 5 = 10. options: 1,4; -1,4; -1,1; -1,-4

Explanation:

Step1: Isolate the absolute value

Subtract 5 from both sides: $|2x - 3| + 5 - 5 = 10 - 5$ → $|2x - 3| = 5$

Step2: Solve the two cases

Case 1: $2x - 3 = 5$
Add 3: $2x = 8$
Divide by 2: $x = 4$

Case 2: $2x - 3 = -5$
Add 3: $2x = -2$
Divide by 2: $x = -1$

Answer:

-1, 4 (corresponding to the option with "-1, 4")