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Popular >

5|x-4|+6<= 26

Solution

5 ∣ x - 4 ∣ + 6 \leq 26

Solution

0 \leq x \leq 8

+1

Solution steps

5 ∣ x - 4 ∣ + 6 \leq 26

Move

6

to the right side

5 ∣ x - 4 ∣ \leq 20

Divide both sides by

5

∣ x - 4 ∣ \leq 4

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4 \leq x - 4 \leq 4

x - 4 \geq - 4 and x - 4 \leq 4

x \geq 0 and x \leq 8

Merge Overlapping Intervals

0 \leq x \leq 8

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Frequently Asked Questions (FAQ)

What is 5|x-4|+6<= 26 ?
The solution to 5|x-4|+6<= 26 is 0<= x<= 8