<span title="3|2x+1|+8=11??????????????????????">3|2x+1|+8=11?????????????...</span>

Question

solution yes/ no?

Answer 1

3|2x + 1| + 8 = 11

3|2x + 1| = 11 - 8

3|2x + 1| = 3

|2x + 1| = 3/3

|2x + 1| = 1

2x + 1 = ±1

2x + 1 = 1

2x = 1 - 1

x = 0/2

x = 0

2x + 1 = -1

2x = -1 - 1

2x = -2

x = -2/2

x = -1

∴ x = -1 , 0

Answer 2

3 | 2x+1 |+8== 11

3 | 2x+1 |== 11-8

3 | 2x+1 | ==3

| 2x+1 |== 1

we have to resolve two equations:

2x+1 == 1 and 2x+1 == -1

the first one:

2x+1 == 1 ===&gt; 2x == 0 ===&gt; x == 0

the second one:

2x+1 == -1

2x== -2

x == -1

then the solutions are: x1== 0, x2== -1

Answer 3

There are two steps to solve

1) x&gt;=-1/2

6x+3+8=11 ie   6x=0      x=0

2) x&lt;-1/2

-6x-3+8=11 ie - 6x=6     x=-1

Answers: two solutions   x1=0 and x2=-1