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Popular >

|x-5|<= x-1

Solution

∣ x - 5 ∣ \leq x - 1

Solution

x \geq 3

+1

Interval Notation

[3, \infty)

Solution steps

∣ x - 5 ∣ \leq x - 1

Find positive and negative intervals

x < 5, x \geq 5

Solve the inequality for each interval

3 \leq x < 5 or x \geq 5

Merge Overlapping Intervals

x \geq 3

Popular Examples

-3(x+4)+15=6-4x

- 3 (x + 4) + 15 = 6 - 4 x

factor x^3+11x^2+31x+21 factor

x^{3} + 11 x^{2} + 31 x + 21

x^{2} - x - 61 = 11

∣ x - 2 ∣ = 2 x - 5

2(v-1)-3v=3(v-6)

2 (v - 1) - 3 v = 3 (v - 6)

Frequently Asked Questions (FAQ)

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