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Popular >

|x-7|<= 6

Solution

∣ x - 7 ∣ \leq 6

Solution

1 \leq x \leq 13

+1

Interval Notation

[1, 13]

Solution steps

∣ x - 7 ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq x - 7 \leq 6

x - 7 \geq - 6 and x - 7 \leq 6

x \geq 1 and x \leq 13

Merge Overlapping Intervals

1 \leq x \leq 13

Popular Examples

factor r^2-5r+6 factor

r^{2} - 5 r + 6

v^{2} + 6 v - 59 = 0

simplify log_{7}(81)simplify

lo g_{7} (81)

factor 2v^2-34v+60 factor

2 v^{2} - 34 v + 60

factor 5a-30 factor

5 a - 30

Frequently Asked Questions (FAQ)

What is |x-7|<= 6 ?
The solution to |x-7|<= 6 is 1<= x<= 13