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Popular >

|3-4x|>10

Solution

∣ 3 - 4 x ∣ > 10

Solution

x < - \frac{7}{4} or x > \frac{13}{4}

+2

Interval Notation

(- \infty, - \frac{7}{4}) \cup (\frac{13}{4}, \infty)

Decimal Notation

x < - 1.75 or x > 3.25

Solution steps

∣ 3 - 4 x ∣ > 10

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

3 - 4 x < - 10 or 3 - 4 x > 10

3 - 4 x < - 10 or 3 - 4 x > 10

x < - \frac{7}{4} or x > \frac{13}{4}

Popular Examples

10 x^{2} - 4 x + 10 = 0

8 x + (- 5 x) = 27

factor 3x^2+18x+15 factor

3 x^{2} + 18 x + 15

3-2x+4[3+5(x+1)]=10x-7

3 - 2 x + 4 [3 + 5 (x + 1)] = 10 x - 7

factor 100a^2b^2-20ab+1 factor

100 a^{2} b^{2} - 20 ab + 1

Frequently Asked Questions (FAQ)

What is |3-4x|>10 ?
The solution to |3-4x|>10 is x<-7/4 \lor x> 13/4