What is |4-x|<|3+2x| ?

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|4-x|<|3+2x|

∣ 4 - x ∣ < ∣ 3 + 2 x ∣

x < - 7 or x > \frac{1}{3}

Interval Notation

(- \infty, - 7) \cup (\frac{1}{3}, \infty)

Decimal

x < - 7 or x > 0.33333 \dots

Solution steps

∣ 4 - x ∣ < ∣ 3 + 2 x ∣

Find positive and negative intervals

x < - \frac{3}{2}, - \frac{3}{2} \leq x \leq 4, x > 4

Solve the inequality for each interval

x < - 7 or \frac{1}{3} < x \leq 4 or x > 4

Merge Overlapping Intervals

x < - 7 or x > \frac{1}{3}

∣ x + 19 ∣ < 5

b^{4} (3 a b^{3}) (2 a^{2} b^{- 5})

119 - 0.16 \cdot 28 \cdot 9.81 = 28 \cdot x

x^{2} + (6 x + 22)^{2} = (6 x + 23)^{2}

100 x^{4} - 60 x^{2} z + 9 z^{2}