What is |x-1|-|x-24|>= 5 ?

The solution to |x-1|-|x-24|>= 5 is x>= 15

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|x-1|-|x-24|>= 5

∣ x - 1 ∣ - ∣ x - 24 ∣ \geq 5

x \geq 15

Interval Notation

[15, \infty)

Solution steps

∣ x - 1 ∣ - ∣ x - 24 ∣ \geq 5

Find positive and negative intervals

x < 1, 1 \leq x < 24, x \geq 24

Solve the inequality for each interval

No Solution or 15 \leq x < 24 or x \geq 24

Merge Overlapping Intervals

x \geq 15

- \frac{1}{2} \cdot 3

- 4 \leq - 2 x + 2 < 12

\frac{5 ^{6}}{5 ^{4}}

(x + 1)^{2} - 20 (x + 1) = - 64

a c - a - b c + b + c^{2} - c