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Popular >

(3x-2)(x+5)<14x-8

Solution

(3 x - 2) (x + 5) < 14 x - 8

Solution

- \frac{2}{3} < x < 1

+2

Interval Notation

(- \frac{2}{3}, 1)

Decimal Notation

- 0.66666 \dots < x < 1

Solution steps

(3 x - 2) (x + 5) < 14 x - 8

Rewrite in standard form

3 x^{2} - x - 2 < 0

Factor

3 x^{2} - x - 2 : (3 x + 2) (x - 1)

(3 x + 2) (x - 1) < 0

Identify the intervals

- \frac{2}{3} < x < 1

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simplify (81x^{28}y^{-12})^{-3/4}simplify

(81 x^{28} y^{- 12})^{- \frac{3}{4}}

Frequently Asked Questions (FAQ)

What is (3x-2)(x+5)<14x-8 ?
The solution to (3x-2)(x+5)<14x-8 is -2/3 <x<1