What is (a)|x-2|<= |x+4| ?

The solution to (a)|x-2|<= |x+4| is No Solution for x\in\mathbb{R}

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(a)|x-2|<= |x+4|

(a) ∣ x - 2 ∣ \leq ∣ x + 4 ∣

No Solution for x \in R

Solution steps

a ∣ x - 2 ∣ \leq ∣ x + 4 ∣

Find positive and negative intervals

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

Solve the inequality for each interval

No Solution for x \in R

\frac{2}{x + 3} \leq 1

2 x^{2} - 5 x + 1 \geq 2

∣ x ∣ + ∣ 2 x - 8 ∣ \leq ∣ x + 8 ∣

\frac{( 3 x + 1 )}{( x - 3 )} > 6

∣ z ∣ \leq 7

What is (a)|x-2|<= |x+4| ?
The solution to (a)|x-2|<= |x+4| is No Solution for x\in\mathbb{R}