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I need help on this question-example-1
User Georgexsh
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2 Answers

1 vote

Answer:

Correct answer: The recommended answer under D. is correct

Explanation:

Let us first define the absolute value:

| 7x + 12 | = 1. { 7x+12 with condition 7x+12≥ 0 or x ≥ - 12/7}

or 2. { - (7x+12) with condition x < - 12/7}

1. 7x + 12 = 12 ⇒ 7x = 12 - 12 = 0 ⇒ 7x = 0 ⇒ x₁ = 0 ∧ x ≥ - 12/7

the solution is accepted because it is within the interval required by the condition, so x₁ = 0

2. - (7x + 12) = 12 ⇒ - 7x - 12 = 12 ⇒ - 7x = 24

when we multiply both sides of the equation by -1 we get:

7x = - 24 ⇒ x₂ = - 24/ 7 ∧ x < - 12/7

the solution is accepted because it is within the interval required by the condition, so x₂ = - 24/7

Therefore we have two solutions of a given equation:

x₁ = 0 and x₂ = - 24/7 or

x ∈ { 0 , - 24/7 }

God is with you!!!

User SantiClaus
by
7.5k points
4 votes

7x + 12 = 12

-12 -12

subtract 12 from both sides of the equation as seen above

7x = 0

divide both sides by 7 to isolate the variable

x = 0

B is the correct option.

User Timotheecour
by
7.7k points

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