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Popular >

|x-3|+6<= 11

Solution

∣ x - 3 ∣ + 6 \leq 11

Solution

- 2 \leq x \leq 8

+1

Interval Notation

[- 2, 8]

Solution steps

∣ x - 3 ∣ + 6 \leq 11

Move

6

to the right side

∣ x - 3 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq x - 3 \leq 5

x - 3 \geq - 5 and x - 3 \leq 5

x \geq - 2 and x \leq 8

Merge Overlapping Intervals

- 2 \leq x \leq 8

Popular Examples

simplify (7^6)/7 simplify

\frac{7 ^{6}}{7}

2/2 x-3/4 >= 4/5-7x

\frac{2}{2} x - \frac{3}{4} \geq \frac{4}{5} - 7 x

x^{2} + 3 > 0

14 - x^{2} = - 5 x - 10

simplify (6ab^3c^4)(-3a^2b^3c)simplify

(6 a b^{3} c^{4}) (- 3 a^{2} b^{3} c)

Frequently Asked Questions (FAQ)

What is |x-3|+6<= 11 ?
The solution to |x-3|+6<= 11 is -2<= x<= 8