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Popular >

|3-x|<= 5

Solution

∣ 3 - x ∣ \leq 5

Solution

- 2 \leq x \leq 8

+1

Interval Notation

[- 2, 8]

Solution steps

∣ 3 - x ∣ \leq 5

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 5 \leq 3 - x \leq 5

3 - x \geq - 5 and 3 - x \leq 5

x \leq 8 and x \geq - 2

Merge Overlapping Intervals

- 2 \leq x \leq 8

Popular Examples

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((2x+5))/(x^2+2x-35)>= 0

\frac{( 2 x + 5 )}{x ^{2} + 2 x - 35} \geq 0

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\frac{a ^{m}}{a ^{n}}

9 = - x^{2} - 6 x

factor x^3-12x^2+48x-64 factor

x^{3} - 12 x^{2} + 48 x - 64

Frequently Asked Questions (FAQ)

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