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Popular >

|x+3|<= 9

Solution

∣ x + 3 ∣ \leq 9

Solution

- 12 \leq x \leq 6

+1

Interval Notation

[- 12, 6]

Solution steps

∣ x + 3 ∣ \leq 9

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 9 \leq x + 3 \leq 9

x + 3 \geq - 9 and x + 3 \leq 9

x \geq - 12 and x \leq 6

Merge Overlapping Intervals

- 12 \leq x \leq 6

Popular Examples

factor x^2+19x+90 factor

x^{2} + 19 x + 90

simplify (12!)/((12-2)!2!)simplify

\frac{12 !}{( 12 - 2 ) ! 2 !}

6 x^{2} + 6 x - 36 = 84

simplify ((k!)^2)/(((k+1)!)^2)simplify

\frac{( k ! ) ^{2}}{( ( k + 1 ) ! ) ^{2}}

x^{2} = 22 + 10 x

Frequently Asked Questions (FAQ)

What is |x+3|<= 9 ?
The solution to |x+3|<= 9 is -12<= x<= 6