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Popular >

|q+3|<= 6

Solution

∣ q + 3 ∣ \leq 6

Solution

- 9 \leq q \leq 3

+1

Interval Notation

[- 9, 3]

Solution steps

∣ q + 3 ∣ \leq 6

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 6 \leq q + 3 \leq 6

q + 3 \geq - 6 and q + 3 \leq 6

q \geq - 9 and q \leq 3

Merge Overlapping Intervals

- 9 \leq q \leq 3

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x^{2} = 20 + 8 x

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simplify (i+1)^2 simplify

(i + 1)^{2}

Frequently Asked Questions (FAQ)

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