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Popular >

|x+3|<= 4

Solution

∣ x + 3 ∣ \leq 4

Solution

- 7 \leq x \leq 1

+1

Interval Notation

[- 7, 1]

Solution steps

∣ x + 3 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x + 3 \leq 4

x + 3 \geq - 4 and x + 3 \leq 4

x \geq - 7 and x \leq 1

Merge Overlapping Intervals

- 7 \leq x \leq 1

Popular Examples

3 x^{2} - 10 x - 7 = 0

simplify ((1/4))/2 simplify

\frac{( \frac{1}{4} )}{2}

∣ 4 x - 5 ∣ \leq 12

\frac{1}{2} x = 32

simplify (1.6*10^{-19})(375)(3.2 1/100)simplify

(1.6 \cdot 1 0^{- 19}) (375) (3.2 \frac{1}{100})

Frequently Asked Questions (FAQ)

What is |x+3|<= 4 ?
The solution to |x+3|<= 4 is -7<= x<= 1