Question

|x+1|=3. Please please 15 баллов

Answer 1

|x+1|=3.

x+1 =3    ⇒  х =3-1   ⇒ х=2

x+1= - 3   ⇒ х=-3-1   ⇒ х= - 4

Answer 2

To solve the equation |x + 1| = 3, we need to consider both the positive and negative cases of the absolute value.

Case 1: x + 1 = 3 To solve for x, we subtract 1 from both sides: x = 3 - 1 x = 2

Case 2: -(x + 1) = 3 To solve for x, we first distribute the negative sign: -x - 1 = 3

Next, add 1 to both sides: -x = 3 + 1 -x = 4

Finally, multiply both sides by -1 to isolate x: x = -4

So the two solutions for the equation |x + 1| = 3 are x = 2 and x = -4.