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Popular >

|x+1|<= 4

Solution

∣ x + 1 ∣ \leq 4

Solution

- 5 \leq x \leq 3

+1

Interval Notation

[- 5, 3]

Solution steps

∣ x + 1 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x + 1 \leq 4

x + 1 \geq - 4 and x + 1 \leq 4

x \geq - 5 and x \leq 3

Merge Overlapping Intervals

- 5 \leq x \leq 3

Popular Examples

simplify 1/5-1/2 simplify

\frac{1}{5} - \frac{1}{2}

simplify (sqrt(x))/(sqrt(2))simplify

\frac{x}{2}

factor 5b^4-15b^3+3-b factor

5 b^{4} - 15 b^{3} + 3 - b

2x^2+4x+8=2x+5x^2-5

2 x^{2} + 4 x + 8 = 2 x + 5 x^{2} - 5

x^{2} - 8 x - 20 = 0

Frequently Asked Questions (FAQ)

What is |x+1|<= 4 ?
The solution to |x+1|<= 4 is -5<= x<= 3