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Popular >

|3x+4|<6

Solution

∣ 3 x + 4 ∣ < 6

Solution

- \frac{10}{3} < x < \frac{2}{3}

+2

Interval Notation

(- \frac{10}{3}, \frac{2}{3})

Decimal Notation

- 3.33333 \dots < x < 0.66666 \dots

Solution steps

∣ 3 x + 4 ∣ < 6

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 6 < 3 x + 4 < 6

3 x + 4 > - 6 and 3 x + 4 < 6

x > - \frac{10}{3} and x < \frac{2}{3}

Merge Overlapping Intervals

- \frac{10}{3} < x < \frac{2}{3}

Popular Examples

5(v+1)-v=4(v-1)+9

5 (v + 1) - v = 4 (v - 1) + 9

(x+2)(x-4)(x+6)<0

(x + 2) (x - 4) (x + 6) < 0

4 x + 4 > 16

(2y)/5-5/6 = 1/30

\frac{2 y}{5} - \frac{5}{6} = \frac{1}{30}

simplify 6((250)^2+25000)^{1/3}-200 simplify

6 ((250)^{2} + 25000)^{\frac{1}{3}} - 200

Frequently Asked Questions (FAQ)

What is |3x+4|<6 ?
The solution to |3x+4|<6 is -10/3 <x< 2/3