What is the answer to [|x-1|]+[|7-x|]=6 ?

The answer to [|x-1|]+[|7-x|]=6 is 1<= x<= 7

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[|x-1|]+[|7-x|]=6

[∣ x - 1 ∣] + [∣ 7 - x ∣] = 6

1 \leq x \leq 7

Solution steps

[∣ x - 1 ∣] + [∣ 7 - x ∣] = 6

Find positive and negative intervals

x < 1, 1 \leq x \leq 7, x > 7

Solve the inequality for each interval

No Solution or 1 \leq x \leq 7

Merge Overlapping Intervals

1 \leq x \leq 7

∣ x + 2 ∣ = ∣ x ∣

x^{2} - 6 x + 7 = \frac{( 5 x - 9 )}{3}

∣ 2 x + 5 ∣ + ∣ 3 - 7 x ∣ = 16

∣ x ∣^{2} - ∣ x ∣ + 4 = 2 x^{2} - 3 ∣ x ∣ + 1

∣ x ∣ + 2 ∣ x - 1 ∣ - 3 ∣ x - 2 ∣ = 4

What is the answer to [|x-1|]+[|7-x|]=6 ?
The answer to [|x-1|]+[|7-x|]=6 is 1<= x<= 7
Solve for x: [|x-1|]+[|7-x|]=6
The solution is 1<= x<= 7