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Popular >

5|x-3|+6<51

Solution

5 ∣ x - 3 ∣ + 6 < 51

Solution

- 6 < x < 12

+1

Interval Notation

(- 6, 12)

Solution steps

5 ∣ x - 3 ∣ + 6 < 51

Move

6

to the right side

5 ∣ x - 3 ∣ < 45

Divide both sides by

5

∣ x - 3 ∣ < 9

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 9 < x - 3 < 9

x - 3 > - 9 and x - 3 < 9

x > - 6 and x < 12

Merge Overlapping Intervals

- 6 < x < 12

Popular Examples

factor x^2+x(-x/2)-(x/2)^2 factor

x^{2} + x (- \frac{x}{2}) - (\frac{x}{2})^{2}

factor 6xy-4y factor

6 x y - 4 y

x^{2} - 7 x - 24 = 0

0=x^2+2*29.1732477*32

0 = x^{2} + 2 \cdot 29.1732477 \cdot 32

simplify (2+5i)/(3i)simplify

\frac{2 + 5 i}{3 i}

Frequently Asked Questions (FAQ)

What is 5|x-3|+6<51 ?
The solution to 5|x-3|+6<51 is -6<x<12