What is |2x-6|>= |x+4| ?

The solution to |2x-6|>= |x+4| is x = 10

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|2x-6|>= |x+4|

∣ 2 x - 6 ∣ \geq ∣ x + 4 ∣

x \leq \frac{2}{3} or x \geq 10

Solution steps

∣ 2 x - 6 ∣ \geq ∣ x + 4 ∣

Find positive and negative intervals

x < - 4, - 4 \leq x < 3, x \geq 3

Solve the inequality for each interval

x < - 4 or - 4 \leq x \leq \frac{2}{3} or x \geq 10

Merge Overlapping Intervals

x \leq \frac{2}{3} or x \geq 10

- 2 \leq x < 0

5 (2 x - 3) - 8 x = 14 x - 3 (4 x + 5)

(8 k^{6})^{6}

x^{2} - 2 x - 4 > 0

- 11 < - 2 x - 1 < 1