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Popular >

|q+3|<= 5

Solution

∣ q + 3 ∣ \leq 5

Solution

- 8 \leq q \leq 2

+1

Interval Notation

[- 8, 2]

Solution steps

∣ q + 3 ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq q + 3 \leq 5

q + 3 \geq - 5 and q + 3 \leq 5

q \geq - 8 and q \leq 2

Merge Overlapping Intervals

- 8 \leq q \leq 2

Popular Examples

x 3 = 12

simplify 7a^{-5}b^3 simplify

7 a^{- 5} b^{3}

simplify (7+i)/(3-i)simplify

\frac{7 + i}{3 - i}

simplify-11(3/2)(0.12(-12))simplify

- 11 (\frac{3}{2}) (0.12 (- 12))

8 = - 4 x

Frequently Asked Questions (FAQ)

What is |q+3|<= 5 ?
The solution to |q+3|<= 5 is -8<= q<= 2