What is the answer to |7x-12|-|7x-11|=1 ?

The answer to |7x-12|-|7x-11|=1 is x<= 11/7

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|7x-12|-|7x-11|=1

∣ 7 x - 12 ∣ - ∣ 7 x - 11 ∣ = 1

x \leq \frac{11}{7}

Solution steps

∣ 7 x - 12 ∣ - ∣ 7 x - 11 ∣ = 1

Find positive and negative intervals

x < \frac{11}{7}, \frac{11}{7} \leq x < \frac{12}{7}, x \geq \frac{12}{7}

Solve the inequality for each interval

x < \frac{11}{7} or x = \frac{11}{7} or No Solution

Merge Overlapping Intervals

x \leq \frac{11}{7}

x^{2} - 2 x - 8 = 2 x

∣ x - 2 ∣ + ∣ x - 4 ∣ = 6

∣ x + 3 ∣ - ∣ 2 x - 5 ∣ = 7

∣ x ∣ + ∣ y ∣ + ∣ x + y ∣ = 24

∣ - 5 x ∣ = 4 x - 16

What is the answer to |7x-12|-|7x-11|=1 ?
The answer to |7x-12|-|7x-11|=1 is x<= 11/7
Solve for x: |7x-12|-|7x-11|=1
The solution is x<= 11/7