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Popular >

|4x-5|>8

Solution

∣ 4 x - 5 ∣ > 8

Solution

x < - \frac{3}{4} or x > \frac{13}{4}

+2

Solution steps

∣ 4 x - 5 ∣ > 8

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

4 x - 5 < - 8 or 4 x - 5 > 8

4 x - 5 < - 8 or 4 x - 5 > 8

x < - \frac{3}{4} or x > \frac{13}{4}

Popular Examples

\frac{( x + 2 )}{5} < 1

|((x^2-5x+4))/((x^2-4))|>= 1

\frac{( x ^{2} - 5 x + 4 )}{( x ^{2} - 4 )} \geq 1

|((x^2+12))/((7x))|>= 1

\frac{( x ^{2} + 12 )}{( 7 x )} \geq 1

((|x|-4))/((|x|-5))<= 0

\frac{( ∣ x ∣ - 4 )}{( ∣ x ∣ - 5 )} \leq 0

∣ x ∣ - ∣ x - 2 ∣ \geq 1

Frequently Asked Questions (FAQ)

What is |4x-5|>8 ?
The solution to |4x-5|>8 is x<-3/4 \lor x> 13/4