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Popular >

|x-3|<= 3

Solution

∣ x - 3 ∣ \leq 3

Solution

0 \leq x \leq 6

+1

Interval Notation

[0, 6]

Solution steps

∣ x - 3 ∣ \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq x - 3 \leq 3

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

x \geq 0 and x \leq 6

Merge Overlapping Intervals

0 \leq x \leq 6

Popular Examples

simplify 2-2/7 simplify

2 - \frac{2}{7}

3 x^{2} - 12 x + 1 = 0

360\div 2\div 3\div 5\div 2

360 \div 2 \div 3 \div 5 \div 2

factor n^2-18n+56 factor

n^{2} - 18 n + 56

factor 3a^4+16a^2+20 factor

3 a^{4} + 16 a^{2} + 20

Frequently Asked Questions (FAQ)

What is |x-3|<= 3 ?
The solution to |x-3|<= 3 is 0<= x<= 6