Question

01) a) | x-7 | = 9
b) | x-2 | = 6
c) | x+9 | = 7
d) l x+11 | = 2
e) | 3x-4 | = 5

Answer 1

 a) | x-7 | = 9 ⇔ x - 7 = ±9 
• x - 7 = 9 ⇔ x= 9 + 7 ⇔ x = 16 
• x - 7 = -9 ⇔ x = -9 + 7 ⇔ x = -2

b) | x-2 | = 6 ⇔ x - 2 = ±6
• x - 2 = 6 ⇔ x = 8
• x - 2 = -6 ⇔ x = -6 + 2 ⇔ x = -4

c)  | x+9 | = 7 ⇔ x + 9 = ±7
• x + 9 = 7 ⇔ x = 7 - 9 ⇔ x = -2
• x + 9 = -7 ⇔ x = -9 - 7 ⇔ x = -16 

d) l x+11 | = 2 ⇔ x + 11 = ±2
• x + 11 = 2 ⇔ x = 2 - 11 ⇔ x = -9
• x + 2 = - 2 ⇔ x = -4 

e) | 3x-4 | = 5 ⇔ 3x - 4 = ±5
• 3x + 4 = 5 ⇔ 3x = 5 - 4  ⇔ 3x = 1 ⇔ x = 1/3
• 3x + 4 = -5 ⇔ 3x = -5 -4 ⇔ 3x = -9 ⇔ x = -9/3 ⇔ x = -3

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10/10/2016
Sepauto 
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