# Math

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What are all values of x for which |2x-3| < 7 ?

• Math -

1, 2, 3, 4

• Math -

If 2x-3 > 0, which means x >or 1.5,
Ms Sue has provided some but not all possible values of x.

First assume 2x-3 >0
This requires x > 1.5, and
2x-3 < 7
That means x < 5.

Therefore 1.5 < x < 5 are answers.

If 2x < 3, which means x < 1.5,
3 - 2x < 7
x > -2
Therefore -2 < x < 1.5 are answers

Put them together and you find that -2 < x < 5 is the range of answers.

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