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Popular >

|x|<= |x+1|

Solution

∣ x ∣ \leq ∣ x + 1 ∣

Solution

x \geq - \frac{1}{2}

+2

Interval Notation

[- \frac{1}{2}, \infty)

Decimal Notation

x \geq - 0.5

Solution steps

∣ x ∣ \leq ∣ x + 1 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x < 0, x \geq 0

Solve the inequality for each interval

No Solution or - \frac{1}{2} \leq x < 0 or x \geq 0

Merge Overlapping Intervals

x \geq - \frac{1}{2}

Popular Examples

((x^2-|x|-5))/((|x|-7))>= 2x

\frac{( x ^{2} - ∣ x ∣ - 5 )}{( ∣ x ∣ - 7 )} \geq 2 x

∣ 3 x - 2 ∣ < x + 3

∣ x - 3 ∣ > x^{2} - 3

∣ x ∣ + ∣ x - 2 ∣ \leq 6

∣ x - 1 ∣ \leq 1

Frequently Asked Questions (FAQ)

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