What is the answer to |x-7|=x-7 ?

The answer to |x-7|=x-7 is x>= 7

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|x-7|=x-7

∣ x - 7 ∣ = x - 7

x \geq 7

Solution steps

∣ x - 7 ∣ = x - 7

Find positive and negative intervals

x < 7, x \geq 7

Solve the inequality for each interval

No Solution or x \geq 7

Merge Overlapping Intervals

x \geq 7

3 x^{2} + x + 3 = 0

2 x + 4 + x = 8 + 2 (3 + x) - 3

(m + 3)^{2} = 0

2 x - x^{2}

(7 x + 4)^{2} = 4