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Popular >

4|x-3|+4>13

Solution

4 ∣ x - 3 ∣ + 4 > 13

Solution

x < \frac{3}{4} or x > \frac{21}{4}

+2

Interval Notation

(- \infty, \frac{3}{4}) \cup (\frac{21}{4}, \infty)

Decimal Notation

x < 0.75 or x > 5.25

Solution steps

4 ∣ x - 3 ∣ + 4 > 13

Move

4

to the right side

4 ∣ x - 3 ∣ > 9

Divide both sides by

4

∣ x - 3 ∣ > \frac{9}{4}

Apply absolute rule: If

∣ u ∣ > a, a > 0

then

u < - a

or

u > a

x - 3 < - \frac{9}{4} or x - 3 > \frac{9}{4}

x - 3 < - \frac{9}{4} or x - 3 > \frac{9}{4}

x < \frac{3}{4} or x > \frac{21}{4}

Popular Examples

∣ 5 x + 3 ∣ - 10 = - 3

sqrt((x*2198)^2+(2192)^2)<= 2400

(x \cdot 2198)^{2} + (2192)^{2} \leq 2400

factor m^3+64n^3 factor

m^{3} + 64 n^{3}

factor 4x^3*(4x-8)^2+x^4*2(4x-8)*8 factor

4 x^{3} \cdot (4 x - 8)^{2} + x^{4} \cdot 2 (4 x - 8) \cdot 8

simplify (16y)^{3/4}simplify

(16 y)^{\frac{3}{4}}

Frequently Asked Questions (FAQ)

What is 4|x-3|+4>13 ?
The solution to 4|x-3|+4>13 is x< 3/4 \lor x> 21/4