+322
Find all values of x in the interval [0, 2π] that satisfy the inequality. (Enter your answer using interval notation.)
−7 < 7 tan(x) < 7
+6251 \(-7 < 7 \tan(x) < 7\\ -1 < \tan(x) < 1\)
\(\text{the easiest way to find }x \text{ is to look at at he graph of }\tan{x} \)
\(\text{we see the inequality is satisfied for }\\ x \in \left[0,\dfrac \pi 4\right) \cup \left(\dfrac{3\pi}{4},\dfrac{5\pi}{4}\right)\cup \left(\dfrac{7\pi}{4},2\pi\right]\)
.+6251 \(-7 < 7 \tan(x) < 7\\ -1 < \tan(x) < 1\)
\(\text{the easiest way to find }x \text{ is to look at at he graph of }\tan{x} \)
\(\text{we see the inequality is satisfied for }\\ x \in \left[0,\dfrac \pi 4\right) \cup \left(\dfrac{3\pi}{4},\dfrac{5\pi}{4}\right)\cup \left(\dfrac{7\pi}{4},2\pi\right]\)
