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Popular >

3|x+3|+7<= 13

Solution

3 ∣ x + 3 ∣ + 7 \leq 13

Solution

- 5 \leq x \leq - 1

+1

Solution steps

3 ∣ x + 3 ∣ + 7 \leq 13

Move

7

to the right side

3 ∣ x + 3 ∣ \leq 6

Divide both sides by

3

∣ x + 3 ∣ \leq 2

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 2 \leq x + 3 \leq 2

x + 3 \geq - 2 and x + 3 \leq 2

x \geq - 5 and x \leq - 1

Merge Overlapping Intervals

- 5 \leq x \leq - 1

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Frequently Asked Questions (FAQ)

What is 3|x+3|+7<= 13 ?
The solution to 3|x+3|+7<= 13 is -5<= x<=-1