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Popular >

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

Solution

∣ x - 3 ∣ \leq ∣ x + 2 ∣

Solution

x \geq \frac{1}{2}

+2

Interval Notation

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

Decimal Notation

x \geq 0.5

Solution steps

∣ x - 3 ∣ \leq ∣ x + 2 ∣

Find positive and negative intervals

x < - 2, - 2 \leq x < 3, x \geq 3

Solve the inequality for each interval

No Solution or \frac{1}{2} \leq x < 3 or x \geq 3

Merge Overlapping Intervals

x \geq \frac{1}{2}

Popular Examples

simplify 2/(25z^3y)-1/(10z^2y)simplify

\frac{2}{25 z ^{3} y} - \frac{1}{10 z ^{2} y}

2log_{5}(x)-log_{x}(125)<1

2 lo g_{5} (x) - lo g_{x} (125) < 1

-69x^2+4050x=250x+5080

- 69 x^{2} + 4050 x = 250 x + 5080

6 x^{2} + 23 x + 21 = 0

6x1+3x2+5x3+2x4<= 10

6 x 1 + 3 x 2 + 5 x 3 + 2 x 4 \leq 10

Frequently Asked Questions (FAQ)

What is |x-3|<= |x+2| ?
The solution to |x-3|<= |x+2| is x>= 1/2