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Popular >

3>|-5+6x|

Solution

3 > ∣ - 5 + 6 x ∣

Solution

\frac{1}{3} < x < \frac{4}{3}

+2

Interval Notation

(\frac{1}{3}, \frac{4}{3})

Decimal Notation

0.33333 \dots < x < 1.33333 \dots

Solution steps

3 > ∣ - 5 + 6 x ∣

Switch sides

∣ - 5 + 6 x ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < - 5 + 6 x < 3

- 5 + 6 x > - 3 and - 5 + 6 x < 3

x > \frac{1}{3} and x < \frac{4}{3}

Merge Overlapping Intervals

\frac{1}{3} < x < \frac{4}{3}

Popular Examples

simplify 1/2-2/2 simplify

\frac{1}{2} - \frac{2}{2}

factor a^2-14ab+24b^2 factor

a^{2} - 14 ab + 24 b^{2}

simplify 1/3+1/10 simplify

\frac{1}{3} + \frac{1}{10}

- 3 ∣ 8 - x ∣ < - 12

simplify (z^2+4zy+4y^2)/(4z+8y)simplify

\frac{z ^{2} + 4 zy + 4 y ^{2}}{4 z + 8 y}

Frequently Asked Questions (FAQ)

What is 3>|-5+6x| ?
The solution to 3>|-5+6x| is 1/3 <x< 4/3