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Popular >

|2x+3|<x+6

Solution

∣ 2 x + 3 ∣ < x + 6

Solution

- 3 < x < 3

+1

Interval Notation

(- 3, 3)

Solution steps

∣ 2 x + 3 ∣ < x + 6

Find positive and negative intervals

x < - \frac{3}{2}, x \geq - \frac{3}{2}

Solve the inequality for each interval

- 3 < x < - \frac{3}{2} or - \frac{3}{2} \leq x < 3

Merge Overlapping Intervals

- 3 < x < 3

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simplify sqrt(7225)simplify

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Frequently Asked Questions (FAQ)

What is |2x+3|<x+6 ?
The solution to |2x+3|<x+6 is -3<x<3