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Popular >

|3x-11|<= 19

Solution

∣ 3 x - 11 ∣ \leq 19

Solution

- \frac{8}{3} \leq x \leq 10

+2

Interval Notation

[- \frac{8}{3}, 10]

Decimal Notation

- 2.66666 \dots \leq x \leq 10

Solution steps

∣ 3 x - 11 ∣ \leq 19

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 19 \leq 3 x - 11 \leq 19

3 x - 11 \geq - 19 and 3 x - 11 \leq 19

x \geq - \frac{8}{3} and x \leq 10

Merge Overlapping Intervals

- \frac{8}{3} \leq x \leq 10

Popular Examples

factor 4j-10k factor

4 j - 10 k

factor 2x^2+5x-12 factor

2 x^{2} + 5 x - 12

600 = \frac{k}{40}

simplify 5+9 simplify

5 + 9

simplify (5-2i)+(-13-8i)simplify

(5 - 2 i) + (- 13 - 8 i)

Frequently Asked Questions (FAQ)

What is |3x-11|<= 19 ?
The solution to |3x-11|<= 19 is -8/3 <= x<= 10