What is |x-4|<infinity ?

The solution to |x-4|<infinity is True for all x

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|x-4|<infinity

∣ x - 4 ∣ < \infty

True for all x

Interval Notation

(- \infty, \infty)

Solution steps

∣ x - 4 ∣ < \infty

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- \infty < x - 4 < \infty

x - 4 > - \infty and x - 4 < \infty

x > - \infty + 4 and True for all x

Merge Overlapping Intervals

True for all x

\frac{5}{6} a^{3} b + 25 a^{5} b + \frac{15}{7} a^{4} b

\frac{6 14}{3 7}

- \frac{π}{2} < x + \frac{π}{6} < \frac{π}{2}

6 x^{2} + 12 x - 18

3. 4^{2}