What is |x+5|<|x^2+2x+3| ?

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|x+5|<|x^2+2x+3|

∣ x + 5 ∣ < x^{2} + 2 x + 3

x < - 2 or x > 1

Solution steps

∣ x + 5 ∣ < x^{2} + 2 x + 3

Find positive and negative intervals

x < - 5, x \geq - 5

Solve the inequality for each interval

x < - 5 or (- 5 \leq x < - 2 or x > 1)

Merge Overlapping Intervals

x < - 2 or x > 1

25 y^{2} - 36 x^{2}

∣ t + 8 ∣ < 2

(x - 4)^{2} = 12

5 b + 0.2 c + 0.8 b

lo g_{4} (128)