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Popular >

|3x+1/2 |-2<5

Solution

3 x + \frac{1}{2} - 2 < 5

Solution

- \frac{5}{2} < x < \frac{13}{6}

+2

Interval Notation

(- \frac{5}{2}, \frac{13}{6})

Decimal Notation

- 2.5 < x < 2.16666 \dots

Solution steps

3 x + \frac{1}{2} - 2 < 5

Move

2

to the right side

3 x + \frac{1}{2} < 7

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 7 < 3 x + \frac{1}{2} < 7

3 x + \frac{1}{2} > - 7 and 3 x + \frac{1}{2} < 7

x > - \frac{5}{2} and x < \frac{13}{6}

Merge Overlapping Intervals

- \frac{5}{2} < x < \frac{13}{6}

Popular Examples

6 d - 211 = 2 d - 213

x^{2} - 6 x = 20

simplify 1/2*2/3 simplify

\frac{1}{2} \cdot \frac{2}{3}

x^{2} = \frac{36}{49}

9 (x + 10) + 5 = 113

Frequently Asked Questions (FAQ)

What is |3x+1/2 |-2<5 ?
The solution to |3x+1/2 |-2<5 is -5/2 <x< 13/6