Solve and show all work |2×+3| -6=11

Mathematics

1 answer:

mash [69]3 years ago

7 0

Answer:

x = -10; x = 7

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17 (2) 2x + 3 = -17

Subtract 3 from each side

2x = 14 2x = -20

Divide each side by 2

x = 7 x = -10

<em>Check: </em>

(1) |2(7) + 3| - 6 = 11 (2) |2(-10) + 3| - 6 = 11

|14 + 3| - 6 = 11 |-20 + 3| - 6 = 11

|17| - 6 = 11 |-17| - 6 = 1 1

17 - 6 = 11 17 - 6 = 11

11 = 11 11 = 11

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