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Popular >

|x+2|<= x+3

Solution

∣ x + 2 ∣ \leq x + 3

Solution

x \geq - \frac{5}{2}

+2

Interval Notation

[- \frac{5}{2}, \infty)

Decimal Notation

x \geq - 2.5

Solution steps

∣ x + 2 ∣ \leq x + 3

Find positive and negative intervals

x < - 2, x \geq - 2

Solve the inequality for each interval

- \frac{5}{2} \leq x < - 2 or x \geq - 2

Merge Overlapping Intervals

x \geq - \frac{5}{2}

Popular Examples

∣ x ∣ > 2 x + 7

|(3-5)/((2x-6))|<= 7

\frac{3 - 5}{( 2 x - 6 )} \leq 7

∣ x - 1 ∣ + ∣ x - 3 ∣ > 2

|((x-2))/((x+4))|<= ((x+3))/((x-6))

\frac{( x - 2 )}{( x + 4 )} \leq \frac{( x + 3 )}{( x - 6 )}

|x+3|+|x-1|<|6-3x|

∣ x + 3 ∣ + ∣ x - 1 ∣ < ∣ 6 - 3 x ∣

Frequently Asked Questions (FAQ)

What is |x+2|<= x+3 ?
The solution to |x+2|<= x+3 is x>=-5/2