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Popular >

3|7x-4|+5>17

Solution

3 ∣ 7 x - 4 ∣ + 5 > 17

Solution

x < 0 or x > \frac{8}{7}

+2

Solution steps

3 ∣ 7 x - 4 ∣ + 5 > 17

Move

5

to the right side

3 ∣ 7 x - 4 ∣ > 12

Divide both sides by

3

∣ 7 x - 4 ∣ > 4

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

7 x - 4 < - 4 or 7 x - 4 > 4

7 x - 4 < - 4 or 7 x - 4 > 4

x < 0 or x > \frac{8}{7}

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Frequently Asked Questions (FAQ)

What is 3|7x-4|+5>17 ?
The solution to 3|7x-4|+5>17 is x<0\lor x> 8/7