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Popular >

|x-4|+3>= 7

Solution

∣ x - 4 ∣ + 3 \geq 7

Solution

x \leq 0 or x \geq 8

+1

Interval Notation

(- \infty, 0] \cup [8, \infty)

Solution steps

∣ x - 4 ∣ + 3 \geq 7

Move

3

to the right side

∣ x - 4 ∣ \geq 4

Apply absolute rule: If

∣ u ∣ \geq a, a > 0

then

u \leq - a

or

u \geq a

x - 4 \leq - 4 or x - 4 \geq 4

x - 4 \leq - 4 or x - 4 \geq 4

x \leq 0 or x \geq 8

Popular Examples

simplify (1/2)^2+1 simplify

(\frac{1}{2})^{2} + 1

simplify (49a^4b^{-2})^{1/2}simplify

(49 a^{4} b^{- 2})^{\frac{1}{2}}

simplify-9/2+9/2 simplify

- \frac{9}{2} + \frac{9}{2}

factor-x^3+27x^2-243x+729 factor

- x^{3} + 27 x^{2} - 243 x + 729

∣ 3 x - 4 ∣ \geq 0

Frequently Asked Questions (FAQ)

What is |x-4|+3>= 7 ?
The solution to |x-4|+3>= 7 is x<= 0\lor x>= 8