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Popular >

|1-1/2 x|>3

Solution

1 - \frac{1}{2} x > 3

Solution

x < - 4 or x > 8

+1

Interval Notation

(- \infty, - 4) \cup (8, \infty)

Solution steps

1 - \frac{1}{2} x > 3

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

1 - \frac{1}{2} x < - 3 or 1 - \frac{1}{2} x > 3

1 - \frac{1}{2} x < - 3 or 1 - \frac{1}{2} x > 3

x < - 4 or x > 8

Popular Examples

- ∣ 2 x + 6 ∣ = - 8

3/(2x+3)-1/(x-2)<0

\frac{3}{2 x + 3} - \frac{1}{x - 2} < 0

1.5x^2-4.2x+2.7=0

1.5 x^{2} - 4.2 x + 2.7 = 0

simplify (sqrt(13)+6)^2 simplify

(13 + 6)^{2}

simplify 3/4+5/8-7/12 simplify

\frac{3}{4} + \frac{5}{8} - \frac{7}{12}

Frequently Asked Questions (FAQ)

What is |1-1/2 x|>3 ?
The solution to |1-1/2 x|>3 is x<-4\lor x>8