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Popular >

|3x+2|<= 4

Solution

∣ 3 x + 2 ∣ \leq 4

Solution

- 2 \leq x \leq \frac{2}{3}

+2

Interval Notation

[- 2, \frac{2}{3}]

Decimal Notation

- 2 \leq x \leq 0.66666 \dots

Solution steps

∣ 3 x + 2 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq 3 x + 2 \leq 4

3 x + 2 \geq - 4 and 3 x + 2 \leq 4

x \geq - 2 and x \leq \frac{2}{3}

Merge Overlapping Intervals

- 2 \leq x \leq \frac{2}{3}

Popular Examples

(67-x)(x+32)>= 0

(67 - x) (x + 32) \geq 0

factor x^2+15x+36 factor

x^{2} + 15 x + 36

2 x - 5 < - 11

x (x - 13) = 0

simplify (5sqrt(3)+sqrt(2))(5sqrt(3)-sqrt(2))simplify

(53 + 2) (53 - 2)

Frequently Asked Questions (FAQ)

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