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Popular >

|7-4x|>8

Solution

∣ 7 - 4 x ∣ > 8

Solution

x < - \frac{1}{4} or x > \frac{15}{4}

+2

Interval Notation

(- \infty, - \frac{1}{4}) \cup (\frac{15}{4}, \infty)

Decimal Notation

x < - 0.25 or x > 3.75

Solution steps

∣ 7 - 4 x ∣ > 8

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

7 - 4 x < - 8 or 7 - 4 x > 8

7 - 4 x < - 8 or 7 - 4 x > 8

x < - \frac{1}{4} or x > \frac{15}{4}

Popular Examples

simplify-(-(10))simplify

- (- (10))

0.440667=-0.0267x^2+0.2849x+0.1836

0.440667 = - 0.0267 x^{2} + 0.2849 x + 0.1836

simplify sqrt(768)simplify

768

x^{2} + 5 x + 11 = 0

b - 7 < - 12

Frequently Asked Questions (FAQ)

What is |7-4x|>8 ?
The solution to |7-4x|>8 is x<-1/4 \lor x> 15/4