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2 – 3x ? 5 Of the following symbols, which one can be substituted for
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17 Nov 2021, 03:08
17 Nov 2021, 03:08
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2 – 3x ? 5
Of the following symbols, which one can be substituted for the question mark in the above expression to make a true statement for all values of x such that –1 < x ≤ 2 ?
(A) =
(B) <
(C) ≥
(D) >
(E) ≤
GRE Tips and Tricks - UPDATED 11/15/2021
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
Of the following symbols, which one can be substituted for the question mark in the above expression to make a true statement for all values of x such that –1 < x ≤ 2 ?
(A) =
(B) <
(C) ≥
(D) >
(E) ≤
GRE Tips and Tricks - UPDATED 11/15/2021
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
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Re: 2 – 3x ? 5 Of the following symbols, which one can be substituted for
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17 Nov 2021, 06:24
17 Nov 2021, 06:24
2
Carcass wrote:
2 – 3x ? 5
Of the following symbols, which one can be substituted for the question mark in the above expression to make a true statement for all values of x such that –1 < x ≤ 2 ?
(A) =
(B) <
(C) ≥
(D) >
(E) ≤
Of the following symbols, which one can be substituted for the question mark in the above expression to make a true statement for all values of x such that –1 < x ≤ 2 ?
(A) =
(B) <
(C) ≥
(D) >
(E) ≤
Let's take the given inequality (–1 < x ≤ 2) and transform it so that we have "2 – 3x" as part of the inequality.
Take: –1 < x ≤ 2
Multiply all parts of the inequality by -3 to get: 3 > -3x ≥ -6 [since we multiplied all sides by a NEGATIVE value, we REVERSED the direction of the inequality symbols (see video below for more details)]
Add 2 to all parts of the inequality to get: 5 > -3x + 2 ≥ -4
Rewrite the middle part as follows: 5 > 2 - 3x ≥ -4
Here, we can see that 2 - 3x < 5
Answer: B
RELATED VIDEO
Inequalities - Part I:
gmatclubot
Re: 2 – 3x ? 5 Of the following symbols, which one can be substituted for [#permalink]
17 Nov 2021, 06:24
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