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Popular >

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

Solution

∣ - x + 2 ∣ \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 + 2 ∣ \leq ∣ x + 1 ∣

Find positive and negative intervals

x < - 1, - 1 \leq x \leq 2, x > 2

Solve the inequality for each interval

No Solution or \frac{1}{2} \leq x \leq 2 or x > 2

Merge Overlapping Intervals

x \geq \frac{1}{2}

Popular Examples

4 < 2 y - 2 < 10

\frac{7}{5} x = 14

simplify-8+5 simplify

- 8 + 5

simplify \sqrt[3]{2^4}simplify

- \frac{4}{5} - (- 3) - \frac{2}{3}

Frequently Asked Questions (FAQ)

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