|x-32|<2

Solution

∣ x - 32 ∣ < 2

30 < x < 34

Interval Notation

(30, 34)

Solution steps

∣ x - 32 ∣ < 2

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 2 < x - 32 < 2

x - 32 > - 2 and x - 32 < 2

x > 30 and x < 34

Merge Overlapping Intervals

30 < x < 34

\frac{- 1000}{- 1000 - 4}

(x y)^{3} (8 x^{2} y^{3})^{2}

\frac{3 x ^{- 3} y ^{3}}{3 x ^{- 3} y ^{- 1} \cdot ( 3 x ^{- 1} y ^{- 2} ) ^{- 3}}

2 (x - 4) - 3 (5 - x) = 4 (2 x + 1)

1.19 \cdot 5.4 \cdot 3.12 - 5.4 \cdot 1.1 9^{2} - 1.93 \cdot 5.4 \cdot 1.19