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Popular >

|x-30|<5

Solution

∣ x - 30 ∣ < 5

Solution

25 < x < 35

+1

Interval Notation

(25, 35)

Solution steps

∣ x - 30 ∣ < 5

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 5 < x - 30 < 5

x - 30 > - 5 and x - 30 < 5

x > 25 and x < 35

Merge Overlapping Intervals

25 < x < 35

Popular Examples

-1/2 x<= (-9)/4+6/5 x

- \frac{1}{2} x \leq \frac{- 9}{4} + \frac{6}{5} x

simplify sqrt(4)^3 simplify

4^{3}

simplify (18+4i)+(-11+23i)simplify

(18 + 4 i) + (- 11 + 23 i)

8 = 1.88 + a

simplify (2/(x+y))/(5/(x+y))simplify

\frac{\frac{2}{x + y}}{\frac{5}{x + y}}

Frequently Asked Questions (FAQ)

What is |x-30|<5 ?
The solution to |x-30|<5 is 25<x<35