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Popular >

|(x-5)/4 |<= 5

Solution

\frac{x - 5}{4} \leq 5

Solution

- 15 \leq x \leq 25

+1

Interval Notation

[- 15, 25]

Solution steps

\frac{x - 5}{4} \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq \frac{x - 5}{4} \leq 5

\frac{x - 5}{4} \geq - 5 and \frac{x - 5}{4} \leq 5

x \geq - 15 and x \leq 25

Merge Overlapping Intervals

- 15 \leq x \leq 25

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(8 x)^{\frac{1}{2}}

x^{2} - 16 x + 7 = 0

Frequently Asked Questions (FAQ)

What is |(x-5)/4 |<= 5 ?
The solution to |(x-5)/4 |<= 5 is -15<= x<= 25