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Joined: 20 Feb 2017
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Which of the following is equivalent to −3x + 7 ≤ 2x + 32?
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02 Feb 2021, 03:15
02 Feb 2021, 03:15
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Which of the following is equivalent to \(−3x + 7 ≤ 2x + 32\)?
(A) \(x ≥ − 5\)
(B) \(x ≥ 5\)
(C) \(x ≤ 5\)
(D) \(x ≤ − 5\)
(E) \(x = 5\)
(A) \(x ≥ − 5\)
(B) \(x ≥ 5\)
(C) \(x ≤ 5\)
(D) \(x ≤ − 5\)
(E) \(x = 5\)
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Joined: 02 Jan 2020
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Concentration: General Management
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Which of the following is equivalent to −3x + 7 ≤ 2x + 32?
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03 Feb 2021, 09:24
03 Feb 2021, 09:24
1
\(−3x + 7 ≤ 2x + 32\)
Let's simplify this equation by taking all terms to LHS, we get
\(−3x + 7 - 2x - 32 ≤ 0\)
=> \(−5x -25 ≤ 0\)
Multiplying both sides by -1 we get
=> \( 5x + 25 ≥ 0\) [As we are multiplying both sides by -1 so sign of inequality will reverse]
Divide both the sides by 5 we get
\( x + 5 ≥ 0\)
=> \( x ≥ -5 \)
So, Answer will be A
Hope it helps!
Refer the following video to know more about Inequalities Basics
Let's simplify this equation by taking all terms to LHS, we get
\(−3x + 7 - 2x - 32 ≤ 0\)
=> \(−5x -25 ≤ 0\)
Multiplying both sides by -1 we get
=> \( 5x + 25 ≥ 0\) [As we are multiplying both sides by -1 so sign of inequality will reverse]
Divide both the sides by 5 we get
\( x + 5 ≥ 0\)
=> \( x ≥ -5 \)
So, Answer will be A
Hope it helps!
Refer the following video to know more about Inequalities Basics
gmatclubot
Which of the following is equivalent to −3x + 7 ≤ 2x + 32? [#permalink]
03 Feb 2021, 09:24
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