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Popular >

|k-9|+7<17

Solution

∣ k - 9 ∣ + 7 < 17

Solution

- 1 < k < 19

+1

Interval Notation

(- 1, 19)

Solution steps

∣ k - 9 ∣ + 7 < 17

Move

7

to the right side

∣ k - 9 ∣ < 10

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 10 < k - 9 < 10

k - 9 > - 10 and k - 9 < 10

k > - 1 and k < 19

Merge Overlapping Intervals

- 1 < k < 19

Popular Examples

\frac{y}{3} + 2 < 1

simplify (k!)/((k+1)!)simplify

\frac{k !}{( k + 1 ) !}

x^{2} - 11 x = - 5 x + 40

lo g_{10} (10) = x

simplify (-6.2*10^{-9})/(8.85*10^{-12)}simplify

\frac{- 6.2 \cdot 1 0 ^{- 9}}{8.85 \cdot 1 0 ^{- 12}}

Frequently Asked Questions (FAQ)

What is |k-9|+7<17 ?
The solution to |k-9|+7<17 is -1<k<19