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Popular >

|x-7|<= 4

Solution

∣ x - 7 ∣ \leq 4

Solution

3 \leq x \leq 11

+1

Interval Notation

[3, 11]

Solution steps

∣ x - 7 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x - 7 \leq 4

x - 7 \geq - 4 and x - 7 \leq 4

x \geq 3 and x \leq 11

Merge Overlapping Intervals

3 \leq x \leq 11

Popular Examples

simplify i^{127}simplify

i^{127}

simplify 1/5+1/10 simplify

\frac{1}{5} + \frac{1}{10}

(x+1)/2+(x+1)/3 =10

\frac{x + 1}{2} + \frac{x + 1}{3} = 10

simplify log_{3}(-9)simplify

lo g_{3} (- 9)

8 (3 + a) = 64

Frequently Asked Questions (FAQ)

What is |x-7|<= 4 ?
The solution to |x-7|<= 4 is 3<= x<= 11