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Popular >

|x-7|-3>= 8

Solution

∣ x - 7 ∣ - 3 \geq 8

Solution

x \leq - 4 or x \geq 18

+1

Interval Notation

(- \infty, - 4] \cup [18, \infty)

Solution steps

∣ x - 7 ∣ - 3 \geq 8

Move

3

to the right side

∣ x - 7 ∣ \geq 11

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 7 \leq - 11 or x - 7 \geq 11

x - 7 \leq - 11 or x - 7 \geq 11

x \leq - 4 or x \geq 18

Popular Examples

simplify sqrt(9/8)simplify

\frac{9}{8}

simplify (3^{-4})^7 simplify

(3^{- 4})^{7}

- 4 (2 x - 1) > 5 - 3 x

simplify (n^2)^3 simplify

(n^{2})^{3}

(3x)/5-1/4 =x-(7x)/(10)-1/5

\frac{3 x}{5} - \frac{1}{4} = x - \frac{7 x}{10} - \frac{1}{5}

Frequently Asked Questions (FAQ)

What is |x-7|-3>= 8 ?
The solution to |x-7|-3>= 8 is x<=-4\lor x>= 18