What is (4913)/(|4x+5|^2)-|4x+5|>= 0 ?

The solution to (4913)/(|4x+5|^2)-|4x+5|>= 0 is -11/2 <= x<-5/4 \lor-5/4 <x<= 3

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(4913)/(|4x+5|^2)-|4x+5|>= 0

\frac{4913}{∣ 4 x + 5 ∣ ^{2}} - ∣ 4 x + 5 ∣ \geq 0

- \frac{11}{2} \leq x < - \frac{5}{4} or - \frac{5}{4} < x \leq 3

Interval Notation

[- \frac{11}{2}, - \frac{5}{4}) \cup (- \frac{5}{4}, 3]

Decimal Notation

- 5.5 \leq x < - 1.25 or - 1.25 < x \leq 3

Solution steps

\frac{4913}{∣ 4 x + 5 ∣ ^{2}} - ∣ 4 x + 5 ∣ \geq 0

Find positive and negative intervals

x < - \frac{5}{4}, x \geq - \frac{5}{4}

Solve the inequality for each interval

- \frac{11}{2} \leq x < - \frac{5}{4} or - \frac{5}{4} < x \leq 3

(x + 17)^{2} = 36

10 (x - 22) + x = 22

\frac{1}{2} - \frac{1}{12}

(3 + i)^{2}

(6 4^{- \frac{1}{2}})^{- \frac{2}{3}}

What is (4913)/(|4x+5|^2)-|4x+5|>= 0 ?
The solution to (4913)/(|4x+5|^2)-|4x+5|>= 0 is -11/2 <= x<-5/4 \lor-5/4 <x<= 3