Question

Solve |2x + 1| = 10

{9/2, 11/2}
{-9/2, 9/2}
{-11/2, 9/2}
Please answer as soon as possible! 10 points!

Answer 1

By definition of absolute value we have two equalities:
2x + 1 = 10
2x + 1 = -10
For 2x + 1 = 10:
2x + 1 = 10
2x = 10-1
2x = 9
x = 9/2
For 2x + 1 = -10:
2x + 1 = -10
2x = -10-1
2x = -11
x = -11 / 2
Answer:
{-11/2, 9/2}