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Popular >

2|x-4|+3>7

Solution

2 ∣ x - 4 ∣ + 3 > 7

Solution

x < 2 or x > 6

+1

Interval Notation

(- \infty, 2) \cup (6, \infty)

Solution steps

2 ∣ x - 4 ∣ + 3 > 7

Move

3

to the right side

2 ∣ x - 4 ∣ > 4

Divide both sides by

2

∣ x - 4 ∣ > 2

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 4 < - 2 or x - 4 > 2

x - 4 < - 2 or x - 4 > 2

x < 2 or x > 6

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(17)^{2}

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20 q^{2} - 5 r^{2}

simplify (27x^3)^{4/3}simplify

(27 x^{3})^{\frac{4}{3}}

Frequently Asked Questions (FAQ)

What is 2|x-4|+3>7 ?
The solution to 2|x-4|+3>7 is x<2\lor x>6