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Which of the following could be the value of x?
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08 Dec 2021, 02:21
08 Dec 2021, 02:21
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\(|x+2|=7\)
Which of the following could be the value of x?
Indicate all such values.
A) –9
B) –5
C) 3
D) 5
E) 7
Which of the following could be the value of x?
Indicate all such values.
A) –9
B) –5
C) 3
D) 5
E) 7
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Which of the following could be the value of x?
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08 Dec 2021, 06:07
08 Dec 2021, 06:07
1
Carcass wrote:
\(|x+2|=7\)
Which of the following could be the value of x?
Indicate all such values.
A) –9
B) –5
C) 3
D) 5
E) 7
Which of the following could be the value of x?
Indicate all such values.
A) –9
B) –5
C) 3
D) 5
E) 7
If |x + 2| = 7, then either x + 2 = 7 or x + 2 = -7
If x + 2 = 7, then x = 5 (answer choice D)
If x + 2 = -7, then x = -9 (answer choice A)
Answer: A, D
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Re: Which of the following could be the value of x?
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28 Dec 2021, 06:58
28 Dec 2021, 06:58
1
Given that \(|x+2|=7\)
Let's solve the problem using two methods
Method 1: Substitution
Let's take each answer choice and substitute in the question and check which one satisfies
A) –9 . Let's put x=-9 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |-9+2| = |-7| = 7 => POSSIBLE
B) –5 . Let's put x=-5 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |-5+2| = |-3| = 3 \(\neq\) = 7 => NOT POSSIBLE
C) 3 . Let's put x=3 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |3+2| = |5| = 5 \(\neq\) = 7 => NOT POSSIBLE
D) 5 . Let's put x=5 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |5+2| = |7| = 7 => POSSIBLE
E) 7 . Let's put x=7 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |7+2| = |9| = 9 \(\neq\) = 7 => NOT POSSIBLE
Method 2: Algebra
|x+2| = 7
=> x+2 = 7 or x+2 = -7
=> x = 7-2 or x = -7-2
=> x = 5 or x = -9
So, Answer will be A and D
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
Let's solve the problem using two methods
Method 1: Substitution
Let's take each answer choice and substitute in the question and check which one satisfies
A) –9 . Let's put x=-9 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |-9+2| = |-7| = 7 => POSSIBLE
B) –5 . Let's put x=-5 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |-5+2| = |-3| = 3 \(\neq\) = 7 => NOT POSSIBLE
C) 3 . Let's put x=3 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |3+2| = |5| = 5 \(\neq\) = 7 => NOT POSSIBLE
D) 5 . Let's put x=5 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |5+2| = |7| = 7 => POSSIBLE
E) 7 . Let's put x=7 in \(|x+2|=7\) and see if it satisfies the equation or not
=> |7+2| = |9| = 9 \(\neq\) = 7 => NOT POSSIBLE
Method 2: Algebra
|x+2| = 7
=> x+2 = 7 or x+2 = -7
=> x = 7-2 or x = -7-2
=> x = 5 or x = -9
So, Answer will be A and D
Hope it helps!
Watch the following video to learn the Basics of Absolute Values
