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Popular >

|6x-5|<7

Solution

∣ 6 x - 5 ∣ < 7

Solution

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

+2

Interval Notation

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

Decimal Notation

- 0.33333 \dots < x < 2

Solution steps

∣ 6 x - 5 ∣ < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 6 x - 5 < 7

6 x - 5 > - 7 and 6 x - 5 < 7

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

Merge Overlapping Intervals

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

Popular Examples

(155*30)-(70*50)+f(10)=0

(155 \cdot 30) - (70 \cdot 50) + f (10) = 0

x^{2} - 3 x = 4

factor (-2x-7)\times 2x+9(-2x-7)factor

(- 2 x - 7) \times 2 x + 9 (- 2 x - 7)

5 x^{2} - 17 x = - 6

6(x^2+1)-(2x-4)(3x+2)<3(5x+21)

6 (x^{2} + 1) - (2 x - 4) (3 x + 2) < 3 (5 x + 21)

Frequently Asked Questions (FAQ)

What is |6x-5|<7 ?
The solution to |6x-5|<7 is -1/3 <x<2