What is the range of possible values for t if 0 < |4t − 6| < 2?

Answer Choices

Correct answer marked below

1/2 < t < 3

1/2 < t < 5/2, but not equal to 1.5.

1 < t < 2, but not equal to 1.5.

Correct

3/2 < t < 5/2,

5/2 < t < 3

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Explanation

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Official Explanation

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To solve |4t - 6| < 2, we consider two cases: when 4t - 6 is positive and when it is negative. For the case when 4t - 6 is positive, we have |4t - 6| = 4t - 6. Thus, 4t - 6 < 2 leads to 4t < 8, which simplifies to…

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Comments

aswinJan 3, 2024

this helped me

ErikJan 15, 2024

thanksss

What this question tests

What it tests

Your ability to solve absolute-value equations and inequalities by considering both cases.

Common trap

Dropping the absolute value bars entirely or missing that |x| = k has two solutions when k > 0.