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Popular >

|2x-7|<9

Solution

∣ 2 x - 7 ∣ < 9

Solution

- 1 < x < 8

+1

Interval Notation

(- 1, 8)

Solution steps

∣ 2 x - 7 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < 2 x - 7 < 9

2 x - 7 > - 9 and 2 x - 7 < 9

x > - 1 and x < 8

Merge Overlapping Intervals

- 1 < x < 8

Popular Examples

- 6 \leq x - 1 < 7

x^2-12x+10=-2x^2+1

x^{2} - 12 x + 10 = - 2 x^{2} + 1

simplify (5^2)/(5^2)simplify

\frac{5 ^{2}}{5 ^{2}}

1/24 x-5/8 = 2/3

\frac{1}{24} x - \frac{5}{8} = \frac{2}{3}

simplify (5pi)/4+pi/4 simplify

\frac{5 π}{4} + \frac{π}{4}

Frequently Asked Questions (FAQ)

What is |2x-7|<9 ?
The solution to |2x-7|<9 is -1<x<8