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Re: If |-3x + 1| < 7, then which of the following represents all possible
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13 Jul 2018, 00:09

2

Bunuel wrote:

If |-3x + 1| < 7, then which of the following represents all possible values of x?

A. -2 < x B. -2 < x < 8/3 C. -2 < x < 8/3 D. x < -2 or x > 8/3 E. x < -2 or x < 8/3

since there is only one MOD, we can take the best method of opening MOD here so two cases |-3x+1|<7.............-3x+1<7...............-3x<6..................-x<2 or x>-2

|-3x+1|<7.............-(-3x+1)<7...............3x-1<7..................3x<8 or x<8/3

so -2<x<8/3

B or C

Bunuel both B and C are same .. some typo
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Re: If |-3x + 1| < 7, then which of the following represents all possible
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13 Jul 2018, 00:18

chetan2u wrote:

Bunuel wrote:

If |-3x + 1| < 7, then which of the following represents all possible values of x?

A. -2 < x B. -2 < x < 8/3 C. -2 < x < 8/3 D. x < -2 or x > 8/3 E. x < -2 or x < 8/3

since there is only one MOD, we can take the best method of opening MOD here so two cases |-3x+1|<7.............-3x+1<7...............-3x<6..................-x<2 or x>-2

|-3x+1|<7.............-(-3x+1)<7...............3x-1<7..................3x<8 or x<8/3

If |-3x + 1| < 7, then which of the following represents all possible
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19 Sep 2018, 18:53

chetan2u wrote:

Bunuel wrote:

If |-3x + 1| < 7, then which of the following represents all possible values of x?

A. -2 < x B. -2 < x < 8/3 C. -2 < x < 8/3 D. x < -2 or x > 8/3 E. x < -2 or x < 8/3

since there is only one MOD, we can take the best method of opening MOD here so two cases |-3x+1|<7.............-3x+1<7...............-3x<6..................-x<2 or x>-2

|-3x+1|<7.............-(-3x+1)<7...............3x-1<7..................3x<8 or x<8/3

Re: If |-3x + 1| < 7, then which of the following represents all possible
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19 Sep 2018, 19:13

Amirfunc wrote:

chetan2u wrote:

Bunuel wrote:

If |-3x + 1| < 7, then which of the following represents all possible values of x?

A. -2 < x B. -2 < x < 8/3 C. -2 < x < 8/3 D. x < -2 or x > 8/3 E. x < -2 or x < 8/3

since there is only one MOD, we can take the best method of opening MOD here so two cases |-3x+1|<7.............-3x+1<7...............-3x<6..................-x<2 or x>-2

|-3x+1|<7.............-(-3x+1)<7...............3x-1<7..................3x<8 or x<8/3

Re: If |-3x + 1| < 7, then which of the following represents all possible
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31 Oct 2018, 06:08

Top Contributor

Bunuel wrote:

If \(|-3x + 1| < 7\), then which of the following represents all possible values of x?

A. \(-2 < x\)

B. \(-2 < x < \frac{8}{3}\)

C. \(-2 \leq x \leq \frac{8}{3}\)

D. \(x < -2\) or \(x > \frac{8}{3}\)

E. \(x \leq -2\) or \(x \geq \frac{8}{3}\)

When solving inequalities involving ABSOLUTE VALUE, there are 2 things you need to know: Rule #1: If |something| < k, then –k < something < k Rule #2: If |something| > k, then EITHER something > k OR something < -k Note: these rules assume that k is positive

From rule #1, we can write: -7 < -3x + 1 < 7 Subtract 1 from all sides to get: -8 < -3x < 6 Divide all sides by -3 to get: 8/3 > x > -2 [since we divided by a NEGATIVE value, we had to REVERSE the inequality symbols] Rewrite as: -2 < x < 8/3

Answer: B

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Re: If |-3x + 1| < 7, then which of the following represents all possible &nbs
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31 Oct 2018, 06:08