What is |((x-66.5))/(2.8)|<= 1 ?

The solution to |((x-66.5))/(2.8)|<= 1 is 63.7<= x<= 69.3

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|((x-66.5))/(2.8)|<= 1

\frac{( x - 66.5 )}{2.8} \leq 1

63.7 \leq x \leq 69.3

Interval Notation

[63.7, 69.3]

Solution steps

\frac{x - 66.5}{2.8} \leq 1

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 1 \leq \frac{x - 66.5}{2.8} \leq 1

\frac{x - 66.5}{2.8} \geq - 1 and \frac{x - 66.5}{2.8} \leq 1

x \geq 63.7 and x \leq 69.3

Merge Overlapping Intervals

63.7 \leq x \leq 69.3

\frac{1}{2} + \frac{2}{5}

2 x^{2} - 7 x + 5

5 x^{4} - 46 x^{3} + 84 x^{2} - 50 x + 7

∣ x + 4 ∣ > - 12

3 - 2 y \geq 7

What is |((x-66.5))/(2.8)|<= 1 ?
The solution to |((x-66.5))/(2.8)|<= 1 is 63.7<= x<= 69.3