Which of the following gives the range of values for p if |3p – 4|

Question

Which of the following gives the range of values for p if |3p – 4| < 1?

A. 0 < p < 1
B. 1 < p < 5/3
C. -1 < p < 5/3
D. –1 < p < 1
E. p < 5/3

ScottTargetTestPrep · Accepted Answer

We can start by simplifying the inequality for when |3p – 4| < 1.

Let’s first simplify for when (3p - 4) is positive.

3p - 4 < 1

3p < 5

p < 5/3

Next, let’s solve for when (3p - 4) is negative.

-(3p - 4) < 1

-3p + 4 < 1

-3p < -3

p > 1

Thus, 1 < p < 5/3.

Answer: B

rohit8865 · Answer

|3p – 4| < 1
sq. both sides to get
(3p-5)(p-1)<0

set the point as p=1 and p=5/3 as shown below in number line

thus range will be 1<p<5/3

Ans B

kanusha · Answer

-1<3P-4<1
3<3P<5
1<P<5/3
B

bumpbot · Answer

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Which of the following gives the range of values for p if |3p – 4| < 1

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