What is the answer to |x-4|-|x+2|=6 ?

The answer to |x-4|-|x+2|=6 is x<=-2

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

∣ x - 4 ∣ - ∣ x + 2 ∣ = 6

x \leq - 2

Solution steps

∣ x - 4 ∣ - ∣ x + 2 ∣ = 6

Find positive and negative intervals

x < - 2, - 2 \leq x < 4, x \geq 4

Solve the inequality for each interval

x < - 2 or x = - 2 or No Solution

Merge Overlapping Intervals

x \leq - 2

x^{2} + 4 = 2 x^{2}

11 (4 c d) (- c d^{5})

1 - (x + 3) \geq 4 - 2 x

\frac{y ^{2}}{y ^{7}}

(2 x + 3)^{2} + 8 (2 x + 3) + 11 = 0