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Popular >

|x-2|<= |x+4|

Solution

∣ x - 2 ∣ \leq ∣ x + 4 ∣

Solution

x \geq - 1

+1

Interval Notation

[- 1, \infty)

Solution steps

∣ 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 or - 1 \leq x < 2 or x \geq 2

Merge Overlapping Intervals

x \geq - 1

Popular Examples

|x+2|+|x-3|<|2x+1|

∣ x + 2 ∣ + ∣ x - 3 ∣ < ∣ 2 x + 1 ∣

|x^2-2x-3|<3x-3

x^{2} - 2 x - 3 < 3 x - 3

|x^3-1|<= x^2+x+1

x^{3} - 1 \leq x^{2} + x + 1

∣ 2 x ∣ + 4 > 0

∣ 2 x - 3 ∣ - ∣ x ∣ \leq 3

Frequently Asked Questions (FAQ)

What is |x-2|<= |x+4| ?
The solution to |x-2|<= |x+4| is x>=-1