Which of the following could be q if |4q – 5|

Question

Which of the following could be q if |4q – 5| < 1?

A. –1
B. 1/4
C. 1
D. 5/4
E. 0

LevanKhukhunashvili · Accepted Answer

|4q – 5| < 1
-1<4q-5<1 Add 5 to each section
4<4q<6 Divide by 4 each section
1<q<6/4

Answers A, B, C, E are less or equal to 1, only D is left

Abhishek009 · Answer

Plug in the values ( From the options given ) of q and check , none but (D) satisfies, hence answer will definitely be (D)

generis · Answer

You can open brackets the "long" way if you can't remember the compound expression format.* Case 1: 4q - 5 < 1 4q < 6 q < \frac{6}{4} (Do not reduce this fraction. Two answers have 4 in the denominator.) Case 2: - (4q - 5) < 1 Divide by -1 and flip the sign 4q - 5 > -1 4q > 4 q > 1 Write the range: 1 < q < \frac{6}{4} Only D fits in the range. Answer D I have seen confusion about linear inequality setup. If sign is < or \leq ? Compound inequality. If sign is > or \geq ? TWO inequalities. Here is a review.

JeffTargetTestPrep · Answer

Looking at our answer choices we can determine that only when q = 5/4 is the given inequality true.

|4(5/4) – 5| < 1

|5 - 5| < 1

0 < 1

Answer: D

KARIM101 · Answer

I don't understand this problem sloving at all. Please, Kindly explain it more easily.

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MBAHOUSE · Answer

Which of the following could be q if |4q – 5| < 1?

Which of the following could be q if |4q – 5| < 1?

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GMAT Problem Solving (PS) Questions

Which of the following could be q if |4q – 5| < 1?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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My Rewards