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Popular >

|3x-7|<4

Solution

∣ 3 x - 7 ∣ < 4

Solution

1 < x < \frac{11}{3}

+2

Interval Notation

(1, \frac{11}{3})

Decimal Notation

1 < x < 3.66666 \dots

Solution steps

∣ 3 x - 7 ∣ < 4

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 4 < 3 x - 7 < 4

3 x - 7 > - 4 and 3 x - 7 < 4

x > 1 and x < \frac{11}{3}

Merge Overlapping Intervals

1 < x < \frac{11}{3}

Popular Examples

factor 4x^4+12x^2+9 factor

4 x^{4} + 12 x^{2} + 9

simplify sqrt(45/80)simplify

\frac{45}{80}

7 (3 x - 2) = 70

factor 4(x+8)^2+3(x+8)-10 factor

4 (x + 8)^{2} + 3 (x + 8) - 10

x^{2} + \frac{1}{3} x + 9 = 0

Frequently Asked Questions (FAQ)

What is |3x-7|<4 ?
The solution to |3x-7|<4 is 1<x< 11/3