What is |x-177.2612|<= 4.57 ?

The solution to |x-177.2612|<= 4.57 is 172.6912<= x<= 181.8312

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|x-177.2612|<= 4.57

∣ x - 177.2612 ∣ \leq 4.57

172.6912 \leq x \leq 181.8312

Interval Notation

[172.6912, 181.8312]

Solution steps

∣ x - 177.2612 ∣ \leq 4.57

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 4.57 \leq x - 177.2612 \leq 4.57

x - 177.2612 \geq - 4.57 and x - 177.2612 \leq 4.57

x \geq 172.6912 and x \leq 181.8312

Merge Overlapping Intervals

172.6912 \leq x \leq 181.8312

2 t^{2} - 32

6 x^{2} = 7 x - 2

675

λ^{2} - 4 λ - 15 = 0

x^{4} + x^{3} - 2 x^{2}

What is |x-177.2612|<= 4.57 ?
The solution to |x-177.2612|<= 4.57 is 172.6912<= x<= 181.8312