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Popular >

|-x+4|<= 1

Solution

∣ - x + 4 ∣ \leq 1

Solution

3 \leq x \leq 5

+1

Interval Notation

[3, 5]

Solution steps

∣ - x + 4 ∣ \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq - x + 4 \leq 1

- x + 4 \geq - 1 and - x + 4 \leq 1

x \leq 5 and x \geq 3

Merge Overlapping Intervals

3 \leq x \leq 5

Popular Examples

simplify ((5x^5)/(x^3))^2 simplify

(\frac{5 x ^{5}}{x ^{3}})^{2}

simplify ((9x^{1/2})/2)^2 simplify

(\frac{9 x ^{\frac{1}{2}}}{2})^{2}

8 + 2 v = 0

factor y^2+12y+32 factor

y^{2} + 12 y + 32

simplify-2+2/3 simplify

- 2 + \frac{2}{3}

Frequently Asked Questions (FAQ)

What is |-x+4|<= 1 ?
The solution to |-x+4|<= 1 is 3<= x<= 5