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Popular >

|5x-10|<= 15

Solution

∣ 5 x - 10 ∣ \leq 15

Solution

- 1 \leq x \leq 5

+1

Solution steps

∣ 5 x - 10 ∣ \leq 15

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 15 \leq 5 x - 10 \leq 15

5 x - 10 \geq - 15 and 5 x - 10 \leq 15

x \geq - 1 and x \leq 5

Merge Overlapping Intervals

- 1 \leq x \leq 5

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Frequently Asked Questions (FAQ)

What is |5x-10|<= 15 ?
The solution to |5x-10|<= 15 is -1<= x<= 5