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Popular >

4|x-2|>5

Solution

4 ∣ x - 2 ∣ > 5

Solution

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

+2

Interval Notation

(- \infty, \frac{3}{4}) \cup (\frac{13}{4}, \infty)

Decimal Notation

x < 0.75 or x > 3.25

Solution steps

4 ∣ x - 2 ∣ > 5

Divide both sides by

4

∣ x - 2 ∣ > \frac{5}{4}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 2 < - \frac{5}{4} or x - 2 > \frac{5}{4}

x - 2 < - \frac{5}{4} or x - 2 > \frac{5}{4}

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

Popular Examples

simplify sqrt(294)simplify

294

7(3x+5)=11-(x+9)

7 (3 x + 5) = 11 - (x + 9)

factor 16m^4+24m^2+9 factor

16 m^{4} + 24 m^{2} + 9

6 x + 4 > - 7

simplify-1/4-1/2 simplify

- \frac{1}{4} - \frac{1}{2}

Frequently Asked Questions (FAQ)

What is 4|x-2|>5 ?
The solution to 4|x-2|>5 is x< 3/4 \lor x> 13/4