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Popular >

|a+9|+2<= 6

Solution

∣ a + 9 ∣ + 2 \leq 6

Solution

- 13 \leq a \leq - 5

+1

Interval Notation

[- 13, - 5]

Solution steps

∣ a + 9 ∣ + 2 \leq 6

Move

2

to the right side

∣ a + 9 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq a + 9 \leq 4

a + 9 \geq - 4 and a + 9 \leq 4

a \geq - 13 and a \leq - 5

Merge Overlapping Intervals

- 13 \leq a \leq - 5

Popular Examples

factor 16a^2+72ad+81d^2 factor

16 a^{2} + 72 a d + 81 d^{2}

0 = x^{2} - 4 x - 4

simplify (5/2)^{-2}*25/8 simplify

(\frac{5}{2})^{- 2} \cdot \frac{25}{8}

simplify 1-(0.05)/2 simplify

1 - \frac{0.05}{2}

x^{2} + 12 x - 28 = 0

Frequently Asked Questions (FAQ)

What is |a+9|+2<= 6 ?
The solution to |a+9|+2<= 6 is -13<= a<=-5